Katherine R Bermingham

Evelyn Füri

Katharina Lodders

Bernard Marty

The NC-CC Isotope Dichotomy: Implications for the Chemical and Isotopic Evolution of the Early Solar System

Keywords: NC-CC, Volatiles, Nucleosynthetic isotope anomalies, Meteorites, Protoplanetary disk evolution

come

Introduction to Solar System Formation

The solar system formed from the solar nebula, which was a segment of a molecular cloud made of interstellar gas and dust particles that had spun into a disk around the forming Sun. This includes dust from stellar sources that was added to the interstellar medium at least ~3 ± 2 Ga1 before the birth of the solar system (e.g., [START_REF] Heck | Lifetimes of interstellar dust from cosmic ray exposure ages of presolar silicon carbide[END_REF]. The solar nebula separated from the main molecular cloud mass due to gravitational collapse of the cloud which was caused by a sufficient weakening of magnetic field support following ambipolar diffusion [START_REF] Shu | Star formation in molecular clouds: observation and theory[END_REF] or by shockwaves from nearby supernova [START_REF] Cameron | The supernova trigger for formation of the solar system[END_REF][START_REF] Boss | Collapse and fragmentation of molecular cloud cores. II. Collapse induced by stellar shock waves[END_REF]. Due to conservation of angular momentum, the solar nebula formed a rotating disk (generally referred to as the protoplanetary disk) around the central protostar. During the earliest stage of the protoplanetary disk, angular momentum was transported outward, while significant mass was transported inward and accreted onto the protostar or was lost by FUV photoevaporation (e.g., [START_REF] Williams | Protoplanetary disks and their evolution[END_REF].

The oldest preserved solids thought to have condensed first in the protoplanetary disk are calciumaluminum-rich inclusions (CAIs), which have an average absolute U-corrected Pb-Pb age of 4,567.30 ± 0.16 Ma [START_REF] Connelly | The absolute chronology and thermal processing of solids in the solar protoplanetary disk[END_REF]). This age is the cosmochemical start (t 0 ) of the solar system. Within <1 Ma of CAI formation, planetesimals began to accrete throughout the protoplanetary disk (e.g., [START_REF] Kruijer | Protracted core formation and rapid accretion of protoplanets[END_REF][START_REF] Sugiura | Correlated accretion ages and ε 54 Cr of meteorite parent bodies and the evolution of the solar nebula[END_REF]. Some planetesimals had sufficient concentrations of heat-producing radioactive isotopes (primarily 26 Al) to cause melting, differentiation, and formation of a metallic core and a silicate mantle and crust [START_REF] Lee | Aluminum-26 in the early solar system: fossil or fuel?[END_REF]Shukolyukov andLugmair 1993a, 1993b;[START_REF] Hevey | A model for planetesimal meltdown by 26 Al and its implications for meteorite parent bodies[END_REF][START_REF] Sahijpal | Numerical simulations of the differentiation of accreting planetesimals with 26 Al and 60 Fe as the heat sources[END_REF][START_REF] Moskovitz | Differentiation of planetesimals and the thermal consequences of melt migration[END_REF]. Collisional accretion and subsequent oligarchic growth of planetesimals gave rise to the evolution of planetesimals into a planetary system (for a recent review, see [START_REF] Walsh | Planetesimals to terrestrial planets: collisional evolution amidst a dissipating gas disk[END_REF].

Presently, a gross zonation in chemistry and mass is exhibited by the planets, where the outer giant planets (Jupiter, Saturn, Uranus, Neptune) are gas-and ice-rich,2 whereas the inner rocky planets (Mercury, Venus, Earth, Mars) are relatively depleted in highly-volatile and volatile elements. In part, the chemical gradient is considered to be a consequence of clearing gas from the inner solar system by early solar activity, rapid growth of the giant planets, and incomplete condensation from the protoplanetary disk (for a review, see [START_REF] Taylor | Solar System Evolution[END_REF][START_REF] Lodders | Chemistry of the Solar System[END_REF][START_REF] Palme | Cosmochemical estimates of mantle composition[END_REF]Cieza et al. 2016, and references therein). The ice to rock ratio favors a larger mass of ice in cooler regions in planetary accretion disks that enables rapid growth of gasgiant planets and provides the critical mass necessary to allow efficient gravitational capture of nebular gas (e.g., [START_REF] Wasson | The building stones of the planets[END_REF]). This provides an explanation for the H-and He-rich atmospheres of the outer planets and their much larger masses than the terrestrial planets. Observations of nearby planetary systems indicate that these planetary forming processes are not unique to our solar system (e.g., [START_REF] Cieza | Imaging the water snow-line during a protostellar outburst[END_REF][START_REF] Kudo | A spatially resolved au-scale inner disk around DM Tau[END_REF].

Despite understanding the generalities of planet formation, important questions remain. For example, what was the composition of the disk and how did it evolve? To what extent are the different stages of disk evolution and planetary accretion recorded by the composition of the planets, asteroids, and meteorites? Can these cosmochemical materials be used to accurately reconstruct the formation of the solar system? What was the volatile element distribution throughout the disk and how did it change with planet growth? What was the source of water and other volatiles to Earth?

Insights to these questions come from analyzing material that directly sampled the proto-planetary disk: chondritic, achondritic, and iron meteorites. Recent developments in analytical instrumentation have made it possible to determine the subtle (on the parts per million scale) isotopic variations between bulk meteorites and their individual components (Figs. 1 and2).

Fig. 1 Variation in 50 Ti/ 47 Ti, expressed in ε units (parts per 10,000; see Sect. 3 for details), in presolar grains, CAIs, chondrules, and "bulk" CC-and NC-type meteorites (chondrites and achondrites). The inset illustrates that CAIs, chondrules, and bulk meteorites record small ε 50 Ti variations (<20 ε units) compared to presolar grains (≥5000 ε units, corresponding to 500 ‰ in δ units). Error bars are smaller than symbol sizes in most cases, except for presolar grains. Modified from [START_REF] Torrano | Titanium isotope signatures of calcium-aluminum-rich inclusions from CV and CK chondrites: implications for early Solar System reservoirs and mixing[END_REF] with data from the literature (Alexander and Nittler 1999; [START_REF] Amari | Presolar SiC grains of Type A and B: Their isotopic compositions and stellar origins[END_REF][START_REF] Davis | Titanium isotopes and rare Earth patterns in CAIs: evidence for thermal processing and gas-dust decoupling in the protoplanetary disk[END_REF][START_REF] Gerber | Mixing and transport of dust in the early solar nebula as inferred from titanium isotope variations among chondrules[END_REF][START_REF] Gyngard | Correlated silicon and titanium isotopic compositions of presolar SiC grains from Murchison CM2 chondrite[END_REF][START_REF] Hoppe | Carbon, nitrogen, magnesium, silicon, and titanium isotopic compositions of single interstellar silicon carbide grains from the Murchison carbonaceous chondrite[END_REF][START_REF] Huss | Titanium isotopic compositions of well-characterized silicon carbide grains from Orgueil (CI): implications for sprocess nucleosynthesis[END_REF][START_REF] Ireland | Isotopically anomalous Ti in presolar SiC from the Murchison meteorite[END_REF][START_REF] Kööp | A link between oxygen, calcium and titanium isotopes in 26 Al-poor hibonite-rich CAIs from Murchison and implications for the heterogeneity of dust reservoirs in the solar nebula[END_REF][START_REF] Niemeyer | Titanium isotope anomalies in chondrules from carbonaceous chondrites[END_REF][START_REF] Render | Titanium isotopic evidence for a shared genetic heritage of refractory inclusions from different carbonaceous chondrites[END_REF][START_REF] Torrano | Titanium isotope signatures of calcium-aluminum-rich inclusions from CV and CK chondrites: implications for early Solar System reservoirs and mixing[END_REF][START_REF] Trinquier | Origin of nucleosynthetic isotope heterogeneity in the Solar protoplanetary disk[END_REF][START_REF] Zhang | The proto-Earth as a significant source of lunar material[END_REF][START_REF] Zinner | NanoSIMS isotopic analysis of small presolar grains: search for Si3N4 grains from AGB stars and Al and Ti isotopic compositions of rare presolar SiC grains[END_REF]).

Here, isotopic variations are defined as isotopic deviations from a terrestrial composition. 3 In parallel, attempts have been made to relate meteorite isotopic and volatile compositions to their parent body's accretion location in the protoplanetary disk, and to use models to reconstruct the architecture of the evolving protoplanetary disk (e.g., [START_REF] Warren | Stable-isotopic anomalies and the accretionary assemblage of the Earth and Mars: a subordinate role for carbonaceous chondrites[END_REF][START_REF] Kruijer | Age of Jupiter inferred from the distinct genetics and forma-tion times of meteorites[END_REF]). This approach relies on the assumptions that: [START_REF] Bockelée-Morvan | Cometary isotopes measurements[END_REF] the terrestrial meteorite collection is representative of the entire or a substantial population of planetesimals present during accretion; (2) the elemental and isotope composition of a meteorite group faithfully represents the composition of the disk region from which its parent body(ies) accreted; (3) the volatile content of meteorites accurately records the volatile content of the parent body and the disk region it sampled; (4) the combination of a meteorite's isotope composition and the volatile element content can trace the communication between different regions of the disk. This contribution reviews work that uses the composition of meteorites to deduce the evolution of the protoplanetary disk from dust to the planetary system observed today. It begins with a brief review of meteorites and their components. This is followed by an outline of isotopic variations in meteorites, meteorite volatile content, parent body accretion locations, and the applicability of these data to reconstructing the evolution of the disk and, finally, the accretion history of Earth. We present several old and new ideas without claiming to be comprehensive. Our aim is to make the reader aware that, despite the recognition of the presence of a dichotomy in isotopic composition, a synthesis of perspectives and data to produce a unique explanation of the origin of all elemental and isotopic peculiarities is still under development. This state is reflected in the primary literature, which often focuses on subsets of specific isotopic systems and/or particular theoretical approaches but does not always include a rigorous assessment of existing and/or other new ideas. In time, a clearer picture will likely emerge when sample-based data are more completely understood and integrated with astronomical datasets and numerical models.

Meteorites and Their Components

Most meteorites originate from the asteroid belt,4 which is a low mass region (representing ∼4% of the mass of the Moon) of the solar system between the orbits of Mars and Jupiter. The asteroid belt provides the most direct sampling of the protoplanetary disk via meteorites delivered to Earth. The belt has a gross chemical stratification, with an inner region that is dominated by silicaceous (S-type) asteroids and an outer region dominated by dark carbonaceous (C-type) asteroids. While some material in the asteroid belt presumably accreted in situ, the diversity of meteorite compositions (ranging from dry, igneous rocks to 'comet-like' icerock mixtures) indicates that the asteroid belt received material originating from the "inner" and "outer" solar system. Here, the material inboard of Jupiter is defined to come from the inner solar system and material outboard of Jupiter originated from the outer solar system (following Warren 2011). It has been proposed that some asteroids were scattered in-wards and outwards during the growth and/or migration of the gas giants [START_REF] Walsh | A low mass for Mars from Jupiter's early gas-driven migration[END_REF][START_REF] Warren | Stable-isotopic anomalies and the accretionary assemblage of the Earth and Mars: a subordinate role for carbonaceous chondrites[END_REF][START_REF] Morbidelli | Dynamical evolution of the asteroid belt[END_REF]; for a recent review, see [START_REF] Raymond | Solar system formation in the context of extrasolar planets[END_REF]. Hence, the present distribution of asteroids is unlikely reflective of their original accretion location. Meteorites are from either melted (achondrites, stony irons, and irons) or unmelted, 'primitive' (chondrites) parent bodies. 'Parent body' refers to either a planet, moon, or asteroid. Achondrites and iron meteorites sample the silicatedominated crust/mantle and metallic core, respectively, of bodies that experienced large-scale melting and differentiation. It should be noted that iron meteorites are not chemically or isotopically linked to known achondrites, which suggests that the silicate mantles of iron meteorite parent bodies are "missing" and might have been destroyed by impacts in the early solar system. Also, there is a lack of achondrites with the expected mineralogy and chemical composition of mantles of differentiated planetesimals (except for martian and lunar meteorites).

Main group pallasites (so-called stony irons, composed of olivine and Fe-Ni-rich metal) had long been thought to represent the transition zone between the core and mantle of differentiated asteroids [START_REF] Scott | Formation of olivine-metal textures in pallasite meteorites[END_REF]. The highly siderophile element abundances of pallasites are consistent with late crystallization of a metallic core, as expected near the core-mantle boundary [START_REF] Scott | Formation of olivine-metal textures in pallasite meteorites[END_REF][START_REF] Davis | The cosmochemical history of the pallasites[END_REF]. Updated metallographic cooling rates and chemical compositions, however, indicate an impact origin for these meteorites [START_REF] Yang | Iron meteorite evidence for early formation and catastrophic disruption of protoplanets[END_REF][START_REF] Yang | Main-group pallasites: thermal history, relationship to IIIAB iron, and origin[END_REF]. Recent high strain-rate deformation experiments were used to identify the process of pallasite formation, and results indicated that pallasites could form via two-stages:

(1) inefficient core-mantle differentiation, and (2) an impact event [START_REF] Walte | Two-stage formation of pallasites and the evolution of their parent bodies revealed by deformation experiments[END_REF]. Chondrites sample planetesimals that have not experienced wholesale melting and differentiation. As such, they are often referred to as "primitive" meteorites, and their compositions may reflect the composition of the disk material from which they accreted. This does not mean they record the exact state of the primitive condensable materials that were present in the solar nebula because all chondrites underwent metamorphic (aqueous and/or thermal) processing on their assembled parent bodies. Nonetheless, compared to planets, satellites, and achondrites, chondrites represent the least altered materials from the solar nebula which can be studied.

Based on mineralogical, chemical, and isotopic differences, chondrites are divided into three major classes: carbonaceous, ordinary, and enstatite chondrites (Fig. 2), and these classes are further divided into chondritic groups (Fig. 3). There are substantial mineralogical and petrographic characteristics as well as whole-rock chemical and O-isotopic compositions which support the interpretation that chondrite groups sample separate parent bodies (for review, see [START_REF] Weisberg | Systematics and evaluation of meteorite classification[END_REF]. Spectroscopic observations link enstatite/ordinary and carbonaceous chondrites to asteroids in the inner and outer belt, respectively, (e.g., Morbidelli et al. 2012, and references therein). [START_REF] Vernazza | Multiple and fast: the accretion of ordinary chondrite parent bodies[END_REF][START_REF] Vernazza | Compositional homogeneity of CM parent bodies[END_REF] and [START_REF] Patzer | Noble gases in enstatite chondrites II: the trapped component[END_REF], however, questioned if each chondrite group represents a single distinct parent body.

Chondritic meteorites consist of three main components: refractory inclusions (CAIs, hibonite-rich CAIs, and amoeboid olivine aggregates), chondrules, and matrix (e.g., [START_REF] Hezel | Compositions of chondrules and matrix and their complementary relationship in chondrites, in Chondrules: Records of Protoplanetary Disk Processes[END_REF][START_REF] Krot | Refractory inclusions in carbonaceous chondrites: records of early solar system processes[END_REF]. Recent advances have established a chronology of formation of CAIs and chondrules in the context of plausible formation models that account for their chemical and isotopic compositions. Evidence from short-and longlived isotopes, oxy-gen isotopes, nucleosynthetic isotopic anomalies, and petrologic studies suggest that CAIs were the first solids to have formed in the protosolar disk (for a review, see MacPherson 2014). The oxygen isotopic compositions of CAIs suggest that they formed in regions that were predominantly solarlike and 16 O-rich compared to Earth (e.g., MacPherson 2014). Thermochemical modelling of the condensation of refractory inclusions indicates that the main minerals in CAIs condensed in a low pressure, high temperature (>1300 K) environment from a solar composition gas (which had an oxygen fugacity several orders of magnitude below the iron-wüstite buffer, IW) [START_REF] Grossman | Early chemical history of the solar system[END_REF][START_REF] Lodders | Solar system abundances and condensation temperatures of the elements[END_REF]. There are, however, indications from trace element abundance patterns that the oxygen fugacity during condensation was variable (e.g., [START_REF] Fegley | Evidence for oxidizing conditions in the solar nebula from Mo and W depletions in refractory inclusions in carbonaceous chondrites[END_REF][START_REF] Rubin | Oxidation state in chondrites[END_REF].

Chondrules, the dominant component in most chondrites, are up to millimeter-sized silicate-rich spherules that had been partially or completely molten prior to incorporation into a planetesimal [START_REF] Scott | Chondritic meteorites and the high-temperature nebular origins of their components[END_REF]. They preserve mineral compositions and textures that indicate crystallization within minutes to hours (Krot et al. 2018 and references therein). 26 Al-26 Mg systematics indicate that most chondrules formed 1-3 Ma after CAIs (e.g., [START_REF] Villeneuve | Homogeneous distribution of 26 Al in the Solar System from the Mg isotopic composition of chondrules[END_REF][START_REF] Pape | Time and duration of chondrule formation: constraints from 26 Al-26 Mg ages of individual chondrules[END_REF]. This conclusion is contrary to Pb-Pb ages that indicate some chondrules formed contemporaneously with CAIs which would imply that chondrules record a heterogeneous distribution of the short-lived 26 Al nuclide in the protoplanetary disk [START_REF] Connelly | Pb-Pb chronometry and the early Solar System[END_REF]. The chemical and mineralogical characteristics of chondrules indicate that they formed under diverse physico-chemical conditions in the nebula that were generally more oxidizing, at higher total pressures and/or higher dust:gas ratios than the CAI-forming region.

Chondrite matrices are volatile-rich compared to refractory inclusions and chondrules. Matrices are characterized by fine-grained mixtures of materials with diverse origins in the protoplanetary disk. This finegrained mixture can be annealed during parent body thermal metamorphism. In objects that have not undergone thermal metamorphism, the matrix generally shows signs of aqueous alteration, e.g., from the presence of secondary mineral phases such as carbonates, sulfates, and phyllosilicates (for a review, see [START_REF] Brearley | The action of water, in Meteorites and the Early Solar System II[END_REF]. Matrices also house primary constituents that formed in the disk, including broken fragments of hightemperature components (e.g., CAIs and chondrules) and low-temperature phases (e.g., organic materials). (2012,2018), [START_REF] Grady | Compositional differences in enstatite chondrites based on carbon and nitrogen stable isotope measurements[END_REF], [START_REF] Hashizume | Nitrogen isotopes in bulk ordinary chondrites[END_REF][START_REF] Hashizume | Nitrogen isotopes in bulk ordinary chondrites[END_REF][START_REF] Pearson | Carbon and nitrogen in carbonaceous chondrites: elemental abundances and stable isotopic compositions[END_REF].

Chondrite matrices can also preserve presolar grains and insoluble/refractory organics (e.g., [START_REF] Lodders | Presolar grains from meteorites: remnants from early times of the solar system[END_REF][START_REF] Zinner | Presolar grains[END_REF][START_REF] Floss | Presolar silicate grains: abundance, isotopic and elemental compositions, and the effects of secondary processing[END_REF][START_REF] Nittler | Astrophysics with extraterrestrial materials[END_REF][START_REF] Takigawa | High-temperature dust condensa-tion around an AGB star: evidence from a highly pristine presolar corundum[END_REF]. Presolar grains formed in stellar outflows or ejecta and remained intact throughout their journey into the solar system where they were preserved in the disk [START_REF] Lodders | Presolar grains from meteorites: remnants from early times of the solar system[END_REF]. Since presolar grains incorporate the dominant isotope products of nucleosynthetic reactions operating in their parent star, their isotope compositions are highly variable and well outside the range found in solar system materials (Fig. 1). Presolar grains exhibit diverse mineralogy and include SiC, graphite, carbides or metal grains in graphite, Si 3 N 4 , corundum, spinel, hibonite, TiO 2 , and amorphous and crystalline silicates (for review, see [START_REF] Zinner | Presolar grains[END_REF][START_REF] Floss | Presolar silicate grains: abundance, isotopic and elemental compositions, and the effects of secondary processing[END_REF][START_REF] Nittler | Astrophysics with extraterrestrial materials[END_REF]. Preservation of these grains in some meteorites is a testament to their chemical robustness and ability to withstand the process of disk formation and evolution, and parent body accretion and alteration. Differentiated planetesimals presumably formed from material which included presolar grains; however, these grains are not pre-served in achondrites and irons because the extensive processes of heating and melting (and potentially the low oxygen fugacity) destroyed them.

Nucleosynthetic Isotope Variations in the Protoplanetary Disk

Historically, the protoplanetary disk was considered to be a hot, compositionally homogeneous disk of dust and gas (e.g., [START_REF] Urey | The Planets: Their Origin and Development[END_REF]. The understanding of the composition of the disk changed considerably with the study of meteorites. The discovery of isotopic variations in xenon [START_REF] Reynolds | Rare gases in chondrite Renazzo[END_REF], neon [START_REF] Black | Trapped neon in meteorites -II[END_REF], N, Si, C [START_REF] Lewis | Interstellar diamonds in meteorites[END_REF][START_REF] Zinner | Presolar grains[END_REF], and SiC grains [START_REF] Bernatowicz | Evidence for inter-stellar SiC in the Murray carbonaceous chondrite[END_REF] in meteorites led to the realization that products of precursor stars were preserved in the solar system. These observations required that the protoplanetary disk did not reach temperatures high enough to vaporize (and homogenize) all presolar grains. Following this and the discovery of oxygen isotopic variations in meteorites 5 [START_REF] Clayton | A component of primitive nuclear composition in carbonaceous meteorites[END_REF], the concept of a cooler, isotopically heterogeneous disk that retained a cosmic chemical memory of the solar system's parental molecular cloud was advanced (e.g., [START_REF] Clayton | Cosmic chemical memory: a new astronomy[END_REF].

Subsequent isotope measurements of meteorites revealed variations in individual components and bulk samples that could not be explained by mass-dependent (physical or chemical) processes, radioactive decay, cosmic ray exposure effects, or nuclear field shift effects. Generally, bulk sample isotopic compositions of meteorites are less anomalous than those found in individual presolar grains, which is likely due to dilution of the presolar grain compositions by disk dust (Fig. 1). By contrasting isotope compositions of bulk meteorite samples with the much larger isotopic anomalies recorded by presolar grains, it was proposed that bulk sample isotopic variations were caused by the heterogeneous distribution of presolar grains in the protoplanetary disk (for review, see [START_REF] Qin | Nucleosynthetic isotope anomalies and their cosmochemical significance[END_REF]. These isotopic variations were named nucleosynthetic isotope anomalies.

To date, meteoritic nucleosynthetic anomalies have been recorded in isotopes of Ne, Kr, Xe, Ca, Ti, Cr, Ni, Sr, Zr, Mo, Ru, Pd, Ba, W, Nd, Sm (e.g., Warren 2011;[START_REF] Ott | Planetary and pre-solar noble gases in meteorites[END_REF][START_REF] Mayer | Palladium isotopic evidence for nucleosynthetic and cosmogenic isotope anomalies in IVB iron meteorites[END_REF][START_REF] Bermingham | Barium isotope abundances in meteorites and their implications for early Solar System evolution[END_REF][START_REF] Dauphas | Mass fractionation laws, mass-independent effects, and isotopic anomalies[END_REF][START_REF] Qin | Nucleosynthetic isotope anomalies and their cosmochemical significance[END_REF][START_REF] Kruijer | Age of Jupiter inferred from the distinct genetics and forma-tion times of meteorites[END_REF]Bermingham et al. 2018aBermingham et al. , 2018b)). Bulk meteorite isotopic variations are generally considered to reflect the bulk (or average) composition of the parent body, and thus the nebular region from which it accreted (e.g., [START_REF] Walker | In search of late-stage plane-tary building blocks[END_REF]. The small scale of nucleosynthetic isotope anomalies indicates that the protoplanetary disk became reasonably, but not perfectly, homogenized during its evolution. Consensus on the process(es) that led to the heterogeneous distribution of presolar grains in the disk is yet to be reached. Leading theories suggest it is the result of poor mixing of these grains into the protoplanetary disk [START_REF] Clayton | Cosmic chemical memory: a new astronomy[END_REF] and references therein) and/or their selective destruction via thermal chemical processing in the protoplanetary disk [START_REF] Trinquier | Origin of nucleosynthetic isotope heterogeneity in the Solar protoplanetary disk[END_REF].

Can Meteorite Compositions Be Used to Constrain the Evolution of the Protoplanetary Disk?

As most meteorites are samples of disk material that have been preserved for ~4.56 Ga, their chemical and isotopic compositions can help reconstruct the physico-chemical evolution of the protoplanetary disk. If nucleosynthetic isotope signatures exhibited by bulk meteorites reflect the unique regional characteristics of the disk from which their parent bodies accreted, these isotopic variations could be used to trace heterogeneities in different regions of the disk (e.g., inner vs. outer solar system) and communication between these regions. Furthermore, if a robust link can be found between the nucleosynthetic isotope composition of a parent body, its accretion location, and the amount of volatiles (e.g., H, C, N) it accreted, the source of water and other volatiles for Earth and the terrestrial planets could potentially be traced.

Relating Meteorite Compositions to Accretion Locations in the Disk

It has been suggested that chondrite properties (e.g., bulk sample oxidation state, oxygen isotopic composition, volatile and refractory lithophile element abundance, matrix/chondrule modal abundance ratio) varied with heliocentric distance, and each chondrite group represents a different parent asteroid formed in a distinct nebular region and/or at a particular time (e.g., [START_REF] Wasson | Meteorites: Their Record of Early Solar-System History[END_REF][START_REF] Wasson | The building stones of the planets[END_REF][START_REF] Rubin | Variations of chondrite properties with heliocentric distance[END_REF][START_REF] Gradie | Compositional structure of the asteroid belt[END_REF][START_REF] Wood | The chondrite types and their origins, in Chondrites and the Protoplanetary Disk[END_REF][START_REF] Raymond | Building the terrestrial planets: constrained accretion in the inner solar system[END_REF]). The early article by [START_REF] Wasson | The building stones of the planets[END_REF] argued for spatially separated formation locations for the different chondrite groups. The author proposed a model for forming the carbonaceous chondrites at the outer edge of the asteroid belt and the enstatite chondrites closest to the Sun (<1 AU), and the ordinary chondrites in-between. Based on chemical and physical properties, it is now generally assumed that the parent bodies of enstatite chondrites formed closest to the Sun, whereas ordinary and carbonaceous chondrites sample planetesimals that accreted at increasing heliocentric distances (e.g., [START_REF] Rubin | Variations of chondrite properties with heliocentric distance[END_REF][START_REF] Wood | The chondrite types and their origins, in Chondrites and the Protoplanetary Disk[END_REF]. First, the proportion of chondrules in enstatite and ordinary chondrites has been interpreted to indicate that their parent bodies formed in the inner disk, where higher shock velocities than in the outer disk resulted in higher concentrations of chondrules (e.g., [START_REF] Wood | The chondrite types and their origins, in Chondrites and the Protoplanetary Disk[END_REF]). The differences in chondrule chemistry, however, still require spatially separated accretion locations with different oxidation conditions, where resorting and concentrating chondrules alone is not a sufficient explanation. Second, the abundance of water and other volatiles in unequilibrated chondrites has been used as an approximate indicator of the radial distance of parent body accretion, thereby suggesting that carbonaceous chondrites formed in the outer protoplanetary disk (near or beyond the snow line ;[START_REF] Wasson | The building stones of the planets[END_REF]Sect. 5.2), where they were able to accrete abundant organic-and ice-rich components (e.g., [START_REF] Morbidelli | Building terrestrial planets[END_REF][START_REF] Trigo-Rodríguez | Accretion of water in carbona-ceous chondrites: current evidence and implications for the delivery of water to early Earth[END_REF]. The formation of carbonaceous chondrites in the outer part of the protoplanetary disk was reinforced by reflection spectroscopy of objects in the outer asteroid belt (see [START_REF] Wasson | The building stones of the planets[END_REF] and beyond (objects between Jupiter and Uranus, the irregular satellites of the giant planets, comets, and Kuiper belt objects) (e.g., Cloutis et al. 2012a, -∼ 0.2 2012b). Building on work that integrated disk dynamics and meteorite compositions, [START_REF] Gounelle | The orbit and atmospheric trajectory of the Orgueil meteorite from historical records[END_REF] estimated the orbit for carbonaceous chondrite Orgueil (Ivuna-type; CI) as similar to the orbits of Jupiter-family comets, and suggested a cometary origin for CI meteorites, as had others before (Lodders and Osborne 1999 and references therein). Considering the uncertainties in the input data (150-year-old visual observations) for the orbital calculations, [START_REF] Gounelle | The orbit and atmospheric trajectory of the Orgueil meteorite from historical records[END_REF] concluded this was more of a best-informed guess than a certainty; however, there are additional arguments for a connection of CI and CM (Mighei-like; CM) chondrites to comets and asteroids that can be regarded as "extinct comets" (see [START_REF] Lodders | Perspectives on the comet-asteroid-meteorite link[END_REF].

The general placement of where planets and meteorite parent bodies accreted in the disk may be deduced from the 'classical' interpretation of a solar nebula temperature-pressure structure together with the thermal stability of condensed phases from thermodynamic calculations (see [START_REF] Lewis | The temperature gradient in the solar nebula[END_REF]. Most subsequent models also invoked radial gradients in temperature and composition in the disk influencing the composition of the forming planetesimals as functions of location and time. The role dynamical re-distribution of accreted objects played, however, has recently been recognized and complicated the classical interpretation. Numerical models, such as the low-mass asteroid belt, Grand Tack, and early instability models (for review, see [START_REF] Raymond | Solar system formation in the context of extrasolar planets[END_REF] indicate that the rapid growth and/or gas-driven migration of the giant planets destabilized the orbits of nearby planetesimals, many of which were scattered inward and outwards. This produced an inner asteroid belt dominated by inner solar system objects and an outer belt dominated by outer solar system objects (e.g., [START_REF] Walsh | A low mass for Mars from Jupiter's early gas-driven migration[END_REF][START_REF] Raymond | Origin of water in the inner solar system: planetesimals scattered inward during Jupiter and Saturn's rapid gas accretion[END_REF]. A consequence of dynamical redistribution is that the heliocentric distance at which a planetesimal resides (now) does not necessarily reflect its initial accretion location in the disk.

Relating Nucleosynthetic Isotope Signatures of Bulk Meteorites to Accretion Locations in the Disk:

The NC-CC Isotope Dichotomy

In 2011, a dichotomy was identified among solar system objects based on their nucleosynthetic isotope composition. Building on work by [START_REF] Trinquier | Widespread 54 Cr heterogeneity in the inner solar system[END_REF][START_REF] Trinquier | Origin of nucleosynthetic isotope heterogeneity in the Solar protoplanetary disk[END_REF], [START_REF] Warren | Stable-isotopic anomalies and the accretionary assemblage of the Earth and Mars: a subordinate role for carbonaceous chondrites[END_REF] compiled Ti, Ni, Cr, and O bulk rock isotope data and observed that carbonaceous chondrites were generally more isotopically anomalous than other chondrites (i.e., ordinary and enstatite chondrites), achondrites, Earth, Moon, and Mars. He termed the carbonaceous chondrite group "carbonaceous chondrite, CC" and the other group "non-carbonaceous chondrite, NC" (Fig. 2). The isotopic bimodality has since been found in siderophile element isotope compositions (e.g., Mo, Ru, W) of magmatic and non-magmatic iron meteorites (e.g., [START_REF] Budde | Molybdenum iso-topic evidence for the origin of chondrules and a distinct genetic heritage of carbonaceous and non-carbonaceous meteorites[END_REF][START_REF] Kruijer | Age of Jupiter inferred from the distinct genetics and forma-tion times of meteorites[END_REF][START_REF] Poole | Nucleosynthetic molybdenum isotope anomalies in iron meteoritesnew evidence for thermal processing of solar nebula material[END_REF][START_REF] Worsham | Characterizing cosmochemical materials with genetic affini-ties to the Earth: genetic and chronological diversity within the IAB iron meteorite complex[END_REF]Bermingham et al. 2018b). The use of carbonaceous chondrite (CC) and noncarbonaceous chondrite (NC) to describe iron meteorites is a misnomer because iron meteorites are not chondritic meteorites. It has, however, become convention to use the NC-CC notation to describe the isotopic bimodality regardless of whether or not a meteorite is a chondrite as defined by its mineralogy and petrogenesis.

As the CC and NC groups do not overlap in nucleosynthetic isotope compositions, the dichotomy appears to have a bimodal origin. [START_REF] Warren | Stable-isotopic anomalies and the accretionary assemblage of the Earth and Mars: a subordinate role for carbonaceous chondrites[END_REF] proposed a spatial or temporal origin for the dichotomy based on the inferred link between the chemical composition of a given parent body and its general accretion location in the protoplanetary disk (following reasoning by [START_REF] Wood | The chondrite types and their origins, in Chondrites and the Protoplanetary Disk[END_REF][START_REF] Gounelle | The orbit and atmospheric trajectory of the Orgueil meteorite from historical records[END_REF][START_REF] Gounelle | Meteorites from the outer solar system? in The Solar System Beyond Neptune[END_REF]. [START_REF] Warren | Stable-isotopic anomalies and the accretionary assemblage of the Earth and Mars: a subordinate role for carbonaceous chondrites[END_REF] speculated that all chondritic CC meteorites formed in the outer (relatively volatile-rich) solar system, whereas the NC parent bodies formed in the inner (relatively volatile-depleted) solar system with the two regions possibly being separated by proto-Jupiter.

What the NC and CC isotopic dichotomy represents is debated. [START_REF] Kruijer | Age of Jupiter inferred from the distinct genetics and forma-tion times of meteorites[END_REF] advanced the interpretation by [START_REF] Warren | Stable-isotopic anomalies and the accretionary assemblage of the Earth and Mars: a subordinate role for carbonaceous chondrites[END_REF] that proto-Jupiter caused a segregation of the inner (NC) and outer (CC) protoplanetary disk. Using Mo and W isotope compositions of bulk chondritic and iron meteorites, [START_REF] Kruijer | Age of Jupiter inferred from the distinct genetics and forma-tion times of meteorites[END_REF] proposed that these groups exhibit distinct accretion ages: NC (<0.4 Ma after CAI formation) and CC (0.9 + 0.4 Ma after CAI formation). Authors concluded the temporal and isotopic constraints implied that the NC and CC reservoirs coexisted in the disk (from 1 Ma until at least 3-4 Ma), but not in the same accretion region. To obtain spatial segregation without inward drift of material, authors proposed the formation of a gap in the disk caused by the accretion of proto-Jupiter's core within 1 Ma of CAI formation. Authors conjectured that the cause of the isotopic offset between CC and NC was an addition of r -process-rich material to the CC reservoir which did not infiltrate the coexisting, yet spatially separated, NC reservoir. [START_REF] Scott | Isotopic dichotomy among meteorites and its bearing on the protoplan-etary disk[END_REF] extended the meteorite database and also found that the chemical and isotopic characteristics of CC meteorites could be accounted for by formation of CC parent bodies beyond proto-Jupiter. Authors argued, however, the dichotomy cannot be related to temporal variations in the disk because differentiated bodies that exhibit the NC-CC dichotomy accreted 1-3 Ma before chondrites. Recent 182 Wderived accretion ages reported by [START_REF] Hilton | Genetics, crystallization sequence, and age of the South Byron Trio iron meteorites: new insights to carbonaceous chondrite (CC) type parent bodies[END_REF] indicate that some CC parent body accretion ages are not resolved from the accretion ages of NC parent bodies. [START_REF] Brasser | The partitioning of the inner and outer Solar System by a structured protoplanetary disk[END_REF] raised doubts about the role Jupiter played in the separation of the NC and CC reservoirs by finding that the separation event may have been caused by a pressure maximum or a dust trap in the disk near the location at which Jupiter later formed.

Implications of the NC-CC Dichotomy on Disk Evolution Models

Despite the absence of consensus on what caused the isotopic difference between the NC and CC groups, it is a common interpretation that the NC group samples material accreted in the inner disk and the CC group samples material accreted in the outer disk. Using this interpretation, conclusions have been drawn about how the composition of the disk, its condensates, and planets evolved.

Models describing the cause of an isotopic difference between the NC and CC regions include the addition of material to the CC region, but not the NC region. For example, in Mo isotope compositional space (µ 94 Mo vs. µ 95 Mo), the NC and CC groups lie on two parallel or close to parallel lines (e.g., [START_REF] Budde | Molybdenum iso-topic evidence for the origin of chondrules and a distinct genetic heritage of carbonaceous and non-carbonaceous meteorites[END_REF][START_REF] Worsham | Characterizing cosmochemical materials with genetic affini-ties to the Earth: genetic and chronological diversity within the IAB iron meteorite complex[END_REF][START_REF] Poole | Nucleosynthetic molybdenum isotope anomalies in iron meteoritesnew evidence for thermal processing of solar nebula material[END_REF][START_REF] Kruijer | Age of Jupiter inferred from the distinct genetics and forma-tion times of meteorites[END_REF][START_REF] Budde | Molybdenum isotopic evidence for the late accretion of outer Solar System material to Earth[END_REF][START_REF] Yokoyama | Origin and evolution of distinct molybdenum isotopic variabilities within carbonaceous and non-carbonaceous reservoirs[END_REF]. The lines could be offset by more r -process and/or p-process material in the CC region than the NC region (e.g., [START_REF] Budde | Molybdenum iso-topic evidence for the origin of chondrules and a distinct genetic heritage of carbonaceous and non-carbonaceous meteorites[END_REF][START_REF] Worsham | Characterizing cosmochemical materials with genetic affini-ties to the Earth: genetic and chronological diversity within the IAB iron meteorite complex[END_REF][START_REF] Poole | Nucleosynthetic molybdenum isotope anomalies in iron meteoritesnew evidence for thermal processing of solar nebula material[END_REF] or different s-process components [START_REF] Stephan | Molybdenum in presolar silicon carbide grains reveal details of s-, r-, and p-process nucleosynthesis[END_REF]. [START_REF] Yokoyama | Origin and evolution of distinct molybdenum isotopic variabilities within carbonaceous and non-carbonaceous reservoirs[END_REF] proposed the variation in Mo isotope compositions in CC meteorites is related to either local parent-body processing or a heterogeneous distribution of s-process matter in the outer solar system. In the NC group, these authors identified two end-member components (NC-A and NC-B), where the NC-B component reflects the remaining complement of the type B CAIs gaseous source reservoir. [START_REF] Desch | The effect of Jupiter's formation on the distribution of refractory ele-ments and inclusions in meteorites[END_REF] developed a numerical model explaining why carbonaceous chondrites have an abundance of CAIs (refractory component), which are long-known hosts for nucleosynthetic isotope anomalies. Their model was able to predict where in the disk different meteorite parent bodies formed. Authors found CC and NC bodies formed in the outer and inner disk, respectively, where regions were separated by proto-Jupiter, and that inside Jupiter's orbit, CAIs were depleted by aerodynamic drag. Alexander (2019a, 2019b) performed a comprehensive study of the elemental and isotopic characteristics of CC and NC meteorites. Alexander (2019a) showed that different mixtures of the same four meteorite components can reproduce most bulk elemental and isotopic compositions of CC meteorites, but NC meteorites require distinctly different mixtures (Alexander 2019b). [START_REF] Burkhardt | Elemental and isotopic variability in solar system materials by mixing and processing of primordial disk reservoirs[END_REF] found that by mixing "CAI-like" material into an NC-like composition, the chemical and isotopic composition of the CC reservoir could be produced. [START_REF] Nanne | Origin of the non-carbonaceous-carbonaceous meteorite dichotomy[END_REF] and [START_REF] Burkhardt | Elemental and isotopic variability in solar system materials by mixing and processing of primordial disk reservoirs[END_REF] proposed similar models detailing the cause of distinct isotope compositions in CAIs, the NC, and CC groups. A variant of the infall model was published by [START_REF] Spitzer | Isotopic evolution of the inner Solar System inferred from molybdenum isotopes in meteorites[END_REF]. Authors propose that the most straight-forward explanation for a change in isotope composition (between NC and CC) is a change in the composition of infalling material from the parental molecular cloud into the disk, cou-pled with variable mixing and subsequent isolation (by proto-Jupiter) of reservoirs within the disk (e.g., [START_REF] Nanne | Origin of the non-carbonaceous-carbonaceous meteorite dichotomy[END_REF].

As an example, the model by [START_REF] Nanne | Origin of the non-carbonaceous-carbonaceous meteorite dichotomy[END_REF] can be distilled into the following: (1) early infall into the disk occurred where molecular cloud material enriched in presolar carriers produced in neutron-rich environments (e.g., 58 Ni, 50 Ti, 54 Cr and r -process Mo) was added to the disk; (2) CAIs, which formed first and close to the Sun, inherited this mix of carriers and are the closest compositional match to the initial isotopic composition of the disk; (3) CAIs were transported outwards by rapid radial expansion of the early infalling material; (4) after removal of the early-formed CAIs, the composition of infalling material changed to be more NC-like, which was not enriched in the neutron-rich nuclides, and this period of infall provided most of the mass of the inner disk and it did not reach the outer disk via infall. This scenario produces a dominance of an NC-like composition in the inner solar system, where presumably the NC parent bodies accreted. The outer solar system became more CC-like as a result of inner and outer disk mixing between the initial disk material with the later accreting NC-like material. To avoid homogenization of the disk, the model invokes an early formed proto-Jupiter that inhibited exchange of material between the inner and outer disk.

Although infall models have appealing features, their feasibility depends on central assumptions that are yet to be verified. For example, these models rely on a change in the isotopic composition of infalling material. Nanne et al. (2019, pp. 50 and 52, respectively) surmised the change in isotopic composition of infalling material occurred because it came "from different parts of a compositionally heterogeneous parental molecular cloud, or the composition of the cloud itself changed over time" where the "isotopic heterogeneity within the solar system's parental molecular cloud has been maintained within the solar accretion disk because material infalling at different times derives from different parts of the parent cloud". The key questions are what caused the specific change in isotopic composition of the infalling molecular cloud material and over what time period could these changes occur? It was thought that molecular clouds in star forming regions were chemically homoge-neous because star clusters (which formed from large molecular clouds) are homogeneous (e.g., [START_REF] Klessen | Star Formation in the Local Universe[END_REF][START_REF] Bland-Hawthorn | The Origin of the Galaxy and Local Group[END_REF]. It has also been proposed, how-ever, that chemical heterogeneities (e.g., carbon monoxide and water) may persist between the pre-stellar core, the protostar, and circumstellar disk [START_REF] Visser | The chemical history of molecules in circumstellar disks[END_REF]. Whether or not this chemical homogeneity extends to the specific presolar carriers of nucleosynthetic isotope anomalies is yet to be verified.

After the onset of star formation in a large molecular cloud, contamination of a presolar molecular cloud can occur by supernova ejecta (e.g., Bland-Hawthorn and Freeman 2014). The fast evolution of supernovae in star-forming regions is the basis for the supernova-triggered formation of the Sun, including injection of supernova material into the presolar cloud (e.g., [START_REF] Cameron | The supernova trigger for formation of the solar system[END_REF][START_REF] Foster | Injection of radioactive nuclides from the stellar source that triggered the collapse of the presolar nebula[END_REF][START_REF] Boss | Mixing and transport of short-lived and stable isotopes and refractory grains in protoplanetary disks[END_REF], or for hypotheses involving later injection of "fresh" supernova material into the evolving solar nebula (e.g., [START_REF] Chevalier | Young circumstellar disks near evolved massive stars and supernovae[END_REF][START_REF] Hester | The cradle of the solar system[END_REF]). The injection of supernova material may provide a large proportion of neutron-rich nuclides and nuclides made by the r -process. To account for the relatively high 26 Al and low 60 Fe abundances inferred for the early solar system, however, formation of the solar system may have been initiated by a triggered star formation at the edge of a Wolf-Rayet bubble [START_REF] Dwarkadas | Triggered star formation inside the shell of a Wolf-Rayet bubble as the origin of the solar system[END_REF]. [START_REF] Nanne | Origin of the non-carbonaceous-carbonaceous meteorite dichotomy[END_REF], however, concludes that the NC-CC isotope dichotomy reflects isotopic heterogeneity within the solar system's parental molecular cloud that cannot be linked to a specific event around t 0 .

Additionally, the infall models involve CAI formation close to the Sun and subsequent transportation outward by rapid radial expansion of early-infalling material, a similar pro-cess through which the underlying disk was produced [START_REF] Yang | The effects of disk building on the distributions of refractory materials in the solar nebula[END_REF][START_REF] Nanne | Origin of the non-carbonaceous-carbonaceous meteorite dichotomy[END_REF]. Early in disk evolution, rapid radial expansion may occur as mass from the infalling cloud is added preferentially to the inner regions of the disk, thereby fueling outward flow [START_REF] Yang | The effects of disk building on the distributions of refractory materials in the solar nebula[END_REF]. In [START_REF] Yang | The effects of disk building on the distributions of refractory materials in the solar nebula[END_REF], the standard case scenario has infall ending at ~0.3 Ma. How the timing and extent of mixing predicted by infall models and rapid radial expansion align with the age and composition constraints of NC-CC meteorites requires further consideration. Also needing more detailed assessment is how rapid radial expansion fits with observations and other models of disk formation (e.g., [START_REF] Williams | Protoplanetary disks and their evolution[END_REF]. Such models often describe the presolar cloud material accreting onto the protosun and the disk, and the Sun's growth eventually becoming dominated by accretion of disk material. In these models, during the Sun's growth, the accretion flow is from outside-in, and the disk loses mass via accretion onto the star. Further, the effects of outflow and jet formation from the protosun are yet to be fully considered. Here, it is briefly noted that the X-wind models by [START_REF] Shu | X-rays and fluctuating X-winds from protostars[END_REF], [START_REF] Shu | The origin of chondrules and refractory inclusions in chondritic meteorites[END_REF] and [START_REF] Lee | Protostellar cosmic rays and extinct radioactivities in meteorites[END_REF] are relevant to infall models [START_REF] Yang | The effects of disk building on the distributions of refractory materials in the solar nebula[END_REF]. From [START_REF] Yang | The effects of disk building on the distributions of refractory materials in the solar nebula[END_REF], unresolved issues include the role of magnetic fields, supersonic turbulence, rotation in the cloud, and a variable infall rate. X-wind models (or variants thereof) could provide mechanisms for CAI formation near the Sun, and their transport out to larger heliocentric distances. At this stage, the timing and process of infall and transportation of disk material (including CAIs) to the outer disk needs further investigation.

Central to determining the feasibility of infall models will be constraining the cause and timing of the change in isotopic composition and physical location of the infalling molecular cloud material to the disk, and ≤ the distribution of disk material in the broader context of what is known about solar nebula evolution. Although important strides are being made, a comprehensive model describing what the NC-CC dichotomy represents, if it reflects in-ner vs. outer solar system compositions, what caused the difference in isotopic composition between and within the two groups, and defining Jupiter's role are topics still under development.

Does the NC-CC Dichotomy Extend to Major Highly-Volatile Elements?

In addition to the implications the NC-CC dichotomy has on protoplanetary disk evolution models, the isotope dichotomy is starting to be used to decipher the source(s) of Earth's water and other volatiles such as C and N. For example, accretion of volatile-rich CC material towards the end of Earth's formationthrough the Moon-forming impactor and/or late accretion -has been argued for based on a comparison of the Mo-Ru isotope composition of meteorites and the bulk silicate Earth [START_REF] Budde | Molybdenum isotopic evidence for the late accretion of outer Solar System material to Earth[END_REF][START_REF] Hopp | Heterogeneous accretion of Earth inferred from Mo-Ru isotope systematics[END_REF]. This seems consistent with the constraints provided by elemental com-positions, which require Earth to have accreted from at least two components, initially a reduced one, which now would be sampled by NC meteorites, and later a more oxidized and volatile-rich component, represented by CC meteorites (e.g., [START_REF] Rubie | Accretion and differentiation of the terrestrial planets with implications for the composition of early-formed Solar System bodies[END_REF]; for a recent review, see [START_REF] Fegley | Volatile element chemistry during accretion of the Earth[END_REF].

The principle that the NC-CC dichotomy can be used to trace volatile accretion to Earth, however, requires a robust link between the NC-CC isotope signature of meteorite groups, the volatile content of their parent bodies, and the volatile content of the protoplanetary disk from which they accreted. If the NC-CC isotope dichotomy reflects an isotopic heterogeneity between the inner and outer disk, a difference in volatile element abundances may be expected between materials derived from the two reservoirs: non-carbonaceous bodies would be depleted in highly-volatile elements relative to CC bodies, which are expected to be comparatively volatile-rich. This application of the NC-CC dichotomy is discussed in the sections below which consider the distribution of highly-volatile major elements (H, C, and N) in the disk and meteorites.

Volatile Species and Their Condensation Fronts in the Protoplanetary Disk

During the protoplanetary disk phase, molecular or atomic volatile species (e.g., H 2 , H 2 O, He, CO, CO 2 , CH 4 , CH 3 OH, N 2 , NH 3 , HCN, H 2 S, etc.) with low condensation temperatures ( 160 K; e.g., [START_REF] Zhang | Evidence of fast pebble growth near condensation fronts in the HL Tau protoplanetary disk[END_REF] resided in the gas phase throughout a significant portion of the disk. At sufficiently low temperatures (i.e., below the condensation temper-ature of water), the solid mass density in the disk increased substantially because of water ice formation, thereby aiding planet accumulation. Condensation of other C-and N-bearing ices could have increased the mass density further. In addition, volatile ices likely played an essential role in planet formation by promoting coagulation of 'sticky' ice-coated dust grains into larger pebbles [START_REF] Wang | Sticky ice grains aid planet formation: unusual properties of cryogenic water ice[END_REF]. Thus, the initial distribution and physical state of volatile species (solid vs. vapor) in the disk was critical in determining the composition and evolution of planetesimals.

To the first order, the thermal structure of the protoplanetary disk controlled where hydrogenated molecules (e.g., H 2 O) and other volatile compounds (e.g., carbon-and nitrogen-bearing species) condensed into ice or froze out onto small dust grains that were subsequently incorporated into accreting planetesimals. While H 2 and He remained in the gaseous state throughout the disk, water molecules were able to freeze out into solid ice grains at and beyond the so-called "snow line" (i.e., the H 2 O condensation front at 160 K at the mid-plane; [START_REF] Hayashi | Structure of the solar nebula, growth and degay of magnetic fields and effects of magnetic and turbulent viscosities on the nebula[END_REF][START_REF] Lodders | Solar system abundances and condensation temperatures of the elements[END_REF][START_REF] Lodders | Jupiter formed with more tar than ice[END_REF][START_REF] Krijt | Tracing water vapor and ice during dust growth[END_REF]) (Fig. 4). Other condensation fronts, defined by the physical state of H-, C-, and N-bearing molecules, included those of ammonia, carbon monoxide, carbon dioxide, methane, methanol, and hydrogen cyanide. Importantly, ice formation depends on the kinetics of the reaction(s) making the condensing molecules. For example, the very stable molecules CO and N 2 essentially contain all the carbon and nitrogen in the solar gas at high temperatures. Only at lower temperatures and high total pressures, will the reaction equilibrium shift to methane and ammonia, i.e., CO + 3H 2 = CH 4 + H 2 O and N 2 + 3H 2 = 2 NH 3 [START_REF] Lewis | Kinetic inhibition of CO and N2 reduction in the solar nebula[END_REF][START_REF] Fegley | Solar nebula chemistry: implications for volatiles in the solar system[END_REF][START_REF] Fegley | Kinetics of gas-grain reactions in the solar nebula[END_REF][START_REF] Lodders | Solar system abundances and condensation temperatures of the elements[END_REF]. However, at the low total pressure within the outer protoplanetary disk, the efficient conversion of CO to CH 4 and of N 2 to NH 3 is kinetically inhibited. ≤ Fig. 4 Schematic cross-section of the protoplanetary disk (not to scale). Planetesimals with NC-and CC-type nucleosynthetic compositions are represented in red and blue, respectively. The two reservoirs are considered to have been spatially separated (e.g., Warren 2011), possibly as a result of the early accretion of proto-Jupiter [START_REF] Kruijer | Age of Jupiter inferred from the distinct genetics and forma-tion times of meteorites[END_REF]. Based on the radial gradient in temperature, planetesimals that accreted beyond the snow line (where T 160 K at the midplane; [START_REF] Hayashi | Structure of the solar nebula, growth and degay of magnetic fields and effects of magnetic and turbulent viscosities on the nebula[END_REF][START_REF] Lodders | Jupiter formed with more tar than ice[END_REF]) are expected to be water-rich, whereas 'dry' (i.e., ice-free) planetesimals that formed between the tar-and snow line could have incorporated refractory organics [START_REF] Lodders | Jupiter formed with more tar than ice[END_REF][START_REF] Nakano | Precometary organic matter: a hidden reservoir of water inside the snow line[END_REF]. The radial position of the mobile condensation fronts relative to the Jupiter barrier likely played a fundamental role in the distribution and transport of inorganic ices (and organics) in the disk during the first few million years of solar system history.

Note that this also affects the total amount of water because O is locked up in CO. Given that other potential C-and N-bearing molecules are affected in a similar manner, mod-els of their condensation locations must consider kinetics and dynamical modelling, and it follows that the NH 3 , CH 3 OH, and H 2 O ice lines essentially coincided while CO and CH 4 condensed at much greater heliocentric distances (e.g., [START_REF] Dodson-Robinson | Ice lines, planetesimal composition and solid surface density in the solar nebula[END_REF][START_REF] Bergin | Chemistry during the gas-rich stage of planet formation[END_REF].

In contrast to these inorganic volatile ices that only exist at T ≤ 160 K, laboratory heat-ing experiments under high vacuum demonstrate that interstellar organic analogs persist at temperatures above 350 to 450 K [START_REF] Nakano | Evaporation of interstellar organic materials in the solar nebula[END_REF]. [START_REF] Lodders | Jupiter formed with more tar than ice[END_REF], therefore, argued that the disk also had a "tar line" inward of the snow line, delineating a region where refrac-tory organics (such as poly-aromatic hydrocarbons) were stable but water existed in vapor form only (Fig. 4). Because innermost disk temperatures were above the condensation tem-perature of all volatile ices, planetary objects that formed sunward of the snow line are not expected to have accreted icy grains, in contrast to bodies formed at greater heliocentric distances. Between the snow and tar lines, however, organics, especially their refractory fractions, could have been incorporated into 'ice-free' planetesimals (Fig. 4); these organics represent a potential source of water for bodies accreted sunward of the snow line [START_REF] Nakano | Precometary organic matter: a hidden reservoir of water inside the snow line[END_REF].

It is important to note that a condensation front is not a straight "line", but rather a surface whose position in the disk and vertical-horizontal structure depends on both temperature and (vapor) pressure in the disk, and, therefore, on the disk mass and heating processes within the disk. [START_REF] Meijerink | Radiative transfer models of mid-infrared H2O lines in the planet-forming region of circumstellar disks[END_REF], for example, pointed out that the heliocentric distance of the water condensation front increases with height above and below the disk midplane due to heating of the disk surface by the central star. Vertical diffusive transport of water vapor across the snow line resulted in condensation and subsequent settling of ice particles and ice-coated grains to the midplane, thereby increasing the dust-to-gas ratio along the midplane and promoting particle growth (e.g., [START_REF] Krijt | Tracing water vapor and ice during dust growth[END_REF].

The positions of the snow and tar lines at the midplane are essential when contemplating planetesimal formation and accretion of water ice and organics. Not only were these "lines" 3-dimensional structures, but their location changed with time as the disk's temperature, total pressure, and density evolved (e.g., as a function of the luminosity of the central star, surface density, mass accretion rate, opacity; note that condensation also feeds into the disk because opacity sources from the gas are removed and dust/ice opacity is generated) [START_REF] Davis | Condensation front migration in a protoplanetary nebula[END_REF][START_REF] Garaud | The effect of internal dissipation and surface irradiation on the structure of disks and the location of the snow line around Sun-like stars[END_REF][START_REF] Oka | Evolution of snow line in optically thick protoplanetary disks: effect of water ice opacity and dust grain size[END_REF][START_REF] Morbidelli | Fossilized condensation lines in the Solar System protoplanetary disk[END_REF][START_REF] Sato | On the water delivery to terrestrial embryos by ice pebble accretion[END_REF]. The absolute positions (and relative positions to accreting planets, including Jupiter) and rate of change of these positions during the disk phase, however, are model dependent. Different models place the snow line anywhere between ~1 (e.g., [START_REF] Sasselov | On the snow line in dusty protoplanetary disks[END_REF] and 4 to 7 AU [START_REF] Cameron | The first ten million years in the solar nebula[END_REF][START_REF] Boss | Evolution of the solar nebula. III. Protoplanetary disks undergoing mass accretion[END_REF][START_REF] Dodson-Robinson | Ice lines, planetesimal composition and solid surface density in the solar nebula[END_REF]; see Fegley 2000 for a summary of models of P-T conditions in the solar nebula). According to the disk model of [START_REF] Boss | Evolution of the solar nebula. III. Protoplanetary disks undergoing mass accretion[END_REF], the snow line never migrated closer than 3 AU of the Sun. In the model of [START_REF] Garaud | The effect of internal dissipation and surface irradiation on the structure of disks and the location of the snow line around Sun-like stars[END_REF], the snow line migrated to ≤1 AU as the mass accretion rate onto the Sun decreased within the first few million years of the nascent solar system, implying that water ice could condense at 1 AU from the residual nebula gas and that water ice-rich planetesimals existed in the terrestrial planet-forming region. However, [START_REF] Morbidelli | Fossilized condensation lines in the Solar System protoplanetary disk[END_REF] presented a speculative argument that even as the temperature decreased below the water condensation threshold, the disk inwards of Jupiter may have remained ice-depleted because proto-Jupiter effectively prevented the inward drift of icy particles once it reached 20 Earth masses; as a result, the snow line could have "fossilized" at ~3 AU. This model implies that planetesimals which formed sunward of Jupiter's orbit would not have accreted any water ice. Evidence from NC chondrites and achondrites, however, contradicts this scenario (see Sect. 5.2).

Overall, based on predictions of a strong heliocentric radial gradient in temperature and total pressure, the volatile content and composition of different planetesimals should have been characterized by sharp transitions between species that were refractory enough to freeze out, and those that were too volatile and remained in the gas phase. Planetesimals that accreted close to the Sun are expected to be water-and carbonpoor, whereas bodies that formed in the outer solar system should have accreted H-C-N-rich ices and organics (Fig. 4). The 3-dimensional distribution of ices and vapor, however, continuously evolved over the lifetime of the protoplanetary disk as the condensation fronts moved inwards and outwards. Currently, it is unresolved how this movement affected the distribution of volatile ices in the feeding zone of planetesimals during the first several Ma of solar system his-tory. In addition, there are factors other than temperature and total pressure that control the volatile characteristics of planetesimals and meteorites (see Sect. 5.2). Thus, linking the volatile content of a meteorite to a (radial) accretion location of a planetary body is not straightforward.

Major Volatile Element (H, C, N) Abundances in NC and CC Chondrites

The distinct nucleosynthetic isotopic composition of NC-and CC-type meteorites has been interpreted to indicate that their parent bodies accreted in the inner and outer solar system, respectively, separated by Jupiter (Fig. 4). If so, NC and CC meteorites could serve (to the first order) as probes of the volatile element signatures of different reservoirs. Do the volatile contents of these objects follow the expected trend that NC meteorites are more volatile-poor than CC meteorites?

The H-C-N content of achondrites (and presumably larger differentiated planetary building blocks) does not reflect that of the disk or of undifferentiated precursors because melting and differentiation caused decomposition of H-C-N carrier phases (such as organics), variable degrees of degassing, and re-distribution of hydrogen, carbon, and nitrogen between the silicate and metal portions of the parent body (e.g., [START_REF] Mikhail | On the origin(s) and evolution of Earth's carbon[END_REF]. Similarly, iron meteorites do not preserve a direct record of the major volatile element abundances of their parent bodies and formation regions because the H-C-N con-tent of planetary cores depends on a complex set of parameters, such as the composition of the Fe-rich alloy (including the abundance of H, C, N, S, and Si), pressure, temperature, and oxygen fugacity during metal-silicate equilibration (e.g., [START_REF] Wood | Carbon in the core: its influence on the properties of core and mantle[END_REF].

In contrast, the preservation of H-C-N in chondrites indicates that these materials may, to an extent, record the (minimum) volatile content of their parent body and presumably the inherited disk material. Although the volatile content of primitive (i.e., those that are least affected by aqueous alteration or thermal metamorphism and are unshocked) planetesimals is fundamentally controlled by several parameters, such as the timing of accretion, location of accretion relative to the position of the ice lines and tar line, redox conditions, ≤ as well as the distribution of H-C-N carriers (e.g., presolar grains, organics) in the disk, the H-C-N abundances in different chondrites could reflect the volatile element composition of the region of the disk from which they accreted. Accordingly, can the NC-CC dichotomy be extended to volatile element abundances in chondrites?

Considering examples of NC-type objects, enstatite chondrites are highly reduced, im-plying that their parent bodies formed in an oxygen-poor environment. They have been presumed to be devoid of water [START_REF] Mason | The enstatite chondrites[END_REF][START_REF] Hutson | A multi-step model for the origin of E3 (enstatite) chondrites[END_REF]Rubin andMa 2017), until Piani et al. (2020) recently showed that enstatite chondrites contain up to 0.06 wt.% H (i.e., 0.54 wt.% equivalent H 2 O). Ordinary chondrites contain slightly larger quantities of water (i.e., ≤ 0.2 wt.% H; [START_REF] O'd. Alexander | The provenances of asteroids, and their contributions to the volatile inventories of the terrestrial planets[END_REF]Alexander et al. , 2018;;[START_REF] Vacher | Hydrogen in chondrites: influence of parent body alteration and atmospheric contamination on primordial components[END_REF]Fig. 3), indicating that their parent bodies, which formed ~2 Ma after CAIs at ~2 AU (e.g., [START_REF] Henke | Thermal history modelling of the H chondrite parent body[END_REF][START_REF] Blackburn | The accretion and impact history of the ordinary chondrite parent bodies[END_REF][START_REF] Sugiura | Correlated accretion ages and ε 54 Cr of meteorite parent bodies and the evolution of the solar nebula[END_REF], accreted some water (ice). [START_REF] Sutton | The bulk valence state of Fe and the origin of water in chondrites[END_REF] argued that a significant amount (i.e., up to ~80%) of water was lost on the parent body of Semarkona, the most primitive ordinary chondrite known, as a result of Fe oxidation by water during aqueous alteration and/or metamorphic dehydration. If large amounts of reactive (liquid) water had been present, much of the iron metal in ordinary chondrites would have been converted to magnetite, and sulfides would have been attacked; this, how-ever, is not the case. Nonetheless, the hydrogen content of ordinary chondrites, together with the presence of hydrated minerals (smectite) and secondary phases (calcite) [START_REF] O'd. Alexander | The microstructure of Semarkona and Bishunpur[END_REF], suggests that the temperature had dropped below the condensation temperature of water ice at ~2 AU by the time the ordinary chondrites formed (Alexander et al. 2018). Furthermore, it requires either that some small icy particles and/or organics (inherited, in part, from the interstellar medium and preserved in the outer solar nebula; [START_REF] Lodders | Jupiter formed with more tar than ice[END_REF][START_REF] Deloule | Interstellar hydroxyl in meteoritic chondrules: implications for the origin of water in the inner solar system[END_REF][START_REF] Piani | Micron-scale D/H heterogeneity in chondrite matrices: a signature of the pristine solar system water? Earth Planet[END_REF] were able to get past Jupiter, or that water-bearing material was trapped sunward of Jupiter's orbit prior to the rapid growth of its core.

Considering CC-type bodies, CI and CM carbonaceous chondrites are significantly more water-rich (containing up to 10 to 20 wt.% equivalent water in the form of hydrous minerals; Kerridge 1985; Pearson et al. 2001; Piani et al. 2020; Robert and Epstein 1982; Robert 2003; Vacher et al. 2020; Fig. 3) 6 , suggesting that their parent bodies formed near or beyond the snow line, where they accreted variable amounts of water-ice grains [START_REF] Vacher | Hydrogen in chondrites: influence of parent body alteration and atmospheric contamination on primordial components[END_REF]). However, several carbonaceous chondrite groups (e.g., Vigarano-like CV and Karoonda-like CK chondrites) contain only small quantities of water (i.e., ≤0.03 to 0.19 wt.% H; [START_REF] Vacher | Hydrogen in chondrites: influence of parent body alteration and atmospheric contamination on primordial components[END_REF]Fig. 3). Although the water abundances of their parent bodies were modified by thermal metamorphism and/or metal oxidation [START_REF] Sutton | The bulk valence state of Fe and the origin of water in chondrites[END_REF][START_REF] Vacher | Hydrogen in chondrites: influence of parent body alteration and atmospheric contamination on primordial components[END_REF], these observations indicate that CC-type bodies cannot systematically be classified as "water-rich". Overall, there is no sharp difference in the water mass fraction of planetesimals inferred to have accreted in the inner (ordinary chondrites) and outer solar system (carbonaceous chondrites).

Other volatile element abundances also do not display systematic radial variations. Some members of both the ordinary and enstatite chondrite classes contain more carbon and nitro-gen than certain carbonaceous chondrites [START_REF] Grady | Compositional differences in enstatite chondrites based on carbon and nitrogen stable isotope measurements[END_REF][START_REF] Wasson | Compositions of chondrites[END_REF][START_REF] Hashizume | Nitrogen isotopes in bulk ordinary chondrites[END_REF][START_REF] Grady | Elemental and isotopic abundances of carbon and nitrogen in meteorite[END_REF][START_REF] Rubin | Origin of halogens and nitrogen in enstatite chondrites[END_REF]; parent body alteration processes, however, may have significantly affected bulk chondrite carbon and nitrogen abundances (e.g., [START_REF] Pearson | Carbon and nitrogen in carbonaceous chondrites: elemental abundances and stable isotopic compositions[END_REF]. Carbonaceous chondrites themselves record a wide range of carbon (≤ 0.2 to ~5 wt.%) and nitrogen (≤ 0.01 to 0.5 wt.%) abundances (e.g., [START_REF] Pearson | Carbon and nitrogen in carbonaceous chondrites: elemental abundances and stable isotopic compositions[END_REF], and references therein) (Fig. 3). Some (ppm-levels) of the carbon and nitrogen occurs in the form of presolar grains (see Sect. 2) but most is present as organic matter dispersed in the matrix of carbonaceous chondrites, and in the form of reduced species (graphite, carbides, nitrides) in enstatite chondrites (e.g., [START_REF] Grady | Elemental and isotopic abundances of carbon and nitrogen in meteorite[END_REF]. This suggests that the accretion and retention of nominally volatile elements (C, N) in the inner regions of the disk may have been facilitated by different oxidation states. Before this can be concluded, however, details about the evolution of the redox conditions in the disk, including how they affected chemical reactions in the nebula and the dynamics of accretion, need to be further documented.

The key point is that planetesimals which formed in the NC reservoir cannot be generally characterized as "volatile-depleted" with respect to volatile and highly volatile elements compared to CC bodies. Although they are relatively deficient in water and carbon as compared to some bodies accreted within the CC reservoir, several volatile elements are comparable in abundance in the most reduced (enstatite chondrites from the NC group) and oxidized (the carbonaceous chondrites from the CC group) chondrites. Thus, with current datasets, the concept of the NC-CC dichotomy cannot yet be extended to all volatile element abundances, and explanations are needed to account for the discrepancies between bulk volatile contents and the NC-CC grouping of meteorites. In addressing these discrepancies, it will be important to determine the extent to which the volatile element composition of a meteorite reflects that of its parent body and the disk region the parent body sampled.

6 Implications for Volatile Accretion: Building Earth from NC-and CC-Type Precursors Based on oxygen and nucleosynthetic isotope compositions, Earth is classified as a NC-body [START_REF] Warren | Stable-isotopic anomalies and the accretionary assemblage of the Earth and Mars: a subordinate role for carbonaceous chondrites[END_REF]; Fig. 2), although in µ 94 Mo vs. µ 95 Mo compositional space Earth lies between the NC and CC groups [START_REF] Budde | Molybdenum isotopic evidence for the late accretion of outer Solar System material to Earth[END_REF]. This classification implies that early Earth's building blocks were dominated by materials with NC isotopic signatures. Although it has been proposed that in elemental composition Earth is relatively close to carbonaceous chondrites, in particular CV and CK chondrites (e.g., [START_REF] Palme | Cosmochemical estimates of mantle composition[END_REF], oxygen isotopes and numerous nucleosynthetic isotope data preclude more than a few percent carbonaceous chondrite material accreting to Earth. These data require that Earth formed from a reservoir that is isotopically similar to enstatite chondrites (or a mixture of bodies that bracket the isotopic composition of Earth) (e.g., [START_REF] Clayton | Oxygen isotopic compositions of enstatite chondrites and aubrites[END_REF][START_REF] Lodders | An oxygen isotope mixing model for the accretion and composition of rocky planets[END_REF][START_REF] Dauphas | The isotopic nature of the Earth's accreting material through time[END_REF]). Earth cannot have been constructed solely out of enstatite chondrites because of the resolvable chemical (including oxidation state) and mass-dependent isotopic differences between enstatite chondrites and Earth (e.g., [START_REF] Mcdonough | The composition of the Earth[END_REF][START_REF] Lodders | An oxygen isotope mixing model for the accretion and composition of rocky planets[END_REF][START_REF] Drake | Determining the composition of the Earth[END_REF][START_REF] Fegley | Volatile element chemistry during accretion of the Earth[END_REF]. [START_REF] Dauphas | The isotopic nature of the Earth's accreting material through time[END_REF] proposed that enstatite meteorites and Earth formed from the same isotopic nebular reservoir, and the reason that the bodies differ in bulk chemical compositions is because their chemical evolution diverged due to fractionation via nebular and planetary processes.

Determining the role that NC-and CC-type bodies (and chondrites vs. achondrites) played in the accretionary history of Earth can become complicated when the isotopic and chemical characteristics of an object might be decoupled. Given the absence of meteoritic materials that match Earth's elemental and isotopic compositions, it is likely that Earth was primarily constructed out of building blocks that shared feeding zones with enstatite chondrites, but these materials are not sampled by the current meteorite collection (e.g., [START_REF] Drake | Determining the composition of the Earth[END_REF][START_REF] Dauphas | The isotopic nature of the Earth's accreting material through time[END_REF]; for a recent review, see [START_REF] Fegley | Volatile element chemistry during accretion of the Earth[END_REF]).

Constraints from Hydrogen Isotopes

The present-day Earth has a significant quantity of water at its surface, and five to ten ocean masses worth of hydrogen as OH and H 2 O may reside in the terrestrial mantle (e.g., [START_REF] Holland | The origins and concentrations of water, carbon, nitrogen and noble gases on Earth[END_REF][START_REF] Marty | Origins of volatile elements (H, C, N, noble gases) on Earth and Mars in light of recent results from the ROSETTA cometary mission[END_REF][START_REF] Hirschmann | Comparative deep Earth volatile cycles: the case for C recycling from exosphere/ mantle fractionation of major (H2O, C, N) volatiles and from H2O/Ce, CO2/Ba, and CO2/Nb exosphere ratios[END_REF]). The source of Earth's water, and the timing of water accretion, is an ongoing investigation in planetary science, with models proposing different timing and means via which water was delivered to Earth (e.g., via nebular ingassing, asteroids, or comets; e.g., [START_REF] Holland | The origins and concentrations of water, carbon, nitrogen and noble gases on Earth[END_REF][START_REF] Hallis | Evidence for primordial water in Earth' s deep mantle[END_REF][START_REF] Marty | Origins of volatile elements (H, C, N, noble gases) on Earth and Mars in light of recent results from the ROSETTA cometary mission[END_REF]Alexander 2017;Alexander et al. 2018;[START_REF] Wu | Origin of Earth's water: chon-dritic inheritance plus nebular ingassing and storage of hydrogen in the core[END_REF]. Notably, the recent detection of significant quantities of water (i.e., up to 0.54 wt.% equivalent H 2 O) in enstatite chondrites represents a paradigm shift in the understanding of the origin of Earth's water, as a significant, even dominant fraction of terrestrial water could be derived from EC-like bodies [START_REF] Piani | Earth's water may have been inherited from material similar to enstatite chondrite meteorites[END_REF].

Whether or not planetesimals from the inner or outer solar system were a dominant source of Earth's water can be further interrogated by comparing the H isotope composition of meteorites with the terrestrial mantle. Hydrogen isotopes (δD = -218 to -125‰ in the deep Earth's mantle; [START_REF] Deloule | Hydrogen isotope heterogeneities in the mantle from ion probe analysis of amphiboles from ultramafic rocks[END_REF][START_REF] Hallis | Evidence for primordial water in Earth' s deep mantle[END_REF] identify enstatite-type objects (δD EC,bulk = -146 to -98‰; [START_REF] Piani | Earth's water may have been inherited from material similar to enstatite chondrite meteorites[END_REF] or carbonaceous (CI/CM) chondrite-like material (δD CI/CM = -227 to +300‰; e.g., [START_REF] O'd. Alexander | The provenances of asteroids, and their contributions to the volatile inventories of the terrestrial planets[END_REF][START_REF] Marty | Origins of volatile elements (H, C, N, noble gases) on Earth and Mars in light of recent results from the ROSETTA cometary mission[END_REF]Alexander et al. 2018;[START_REF] Piani | Earth's water may have been inherited from material similar to enstatite chondrite meteorites[END_REF]),7 as the potential sources of Earth's water, with minor (<1%) cometary (Marty et al. 2016) and nebular [START_REF] Hallis | Evidence for primordial water in Earth' s deep mantle[END_REF][START_REF] Wu | Origin of Earth's water: chon-dritic inheritance plus nebular ingassing and storage of hydrogen in the core[END_REF] contributions. A nebular volatile contribution is independently indicated by the presence of solar-like neon in Earth's mantle [START_REF] Honda | Solar noble gases in the Earth: the systematics of helium-neon isotopes in mantle derived samples[END_REF][START_REF] Yokochi | A determination of the neon isotopic composition of the deep mantle[END_REF][START_REF] Williams | Capture of nebular gases during Earth's accretion is preserved in deep-mantle neon[END_REF], but mass balance considerations suggest that this contribution was minor for major volatiles such as hydrogen, carbon, and nitrogen (e.g., [START_REF] Holland | The origins and concentrations of water, carbon, nitrogen and noble gases on Earth[END_REF].

The new findings of [START_REF] Piani | Earth's water may have been inherited from material similar to enstatite chondrite meteorites[END_REF] identify EC-type bodies as the likely sources of water in Earth's interior. However, Earth's surficial (oceans and atmosphere) water reservoir, which is more enriched in D than the mantle, appears to require a contribution of carbonaceous chondrite-like material [START_REF] Piani | Earth's water may have been inherited from material similar to enstatite chondrite meteorites[END_REF]). The most likely explanation for the accretion of this component is that 'wet' (i.e., 'icy') CI/CM-type bodies were scattered inward from greater heliocentric distances as a result of Jupiter's growth and/or gas-driven migration after the first 3 to 4 million years of solar system history [START_REF] Raymond | Origin of water in the inner solar system: planetesimals scattered inward during Jupiter and Saturn's rapid gas accretion[END_REF]Alexander et al. 2018).

Constraints from Siderophile Element Isotopes

The importance of late accretion (often referred to as the "late veneer") for adding water to Earth remains a matter of debate. Late accretion provided the highly siderophile elements to Earth's mantle after core formation [START_REF] Chou | Fractionation of siderophile elements in the Earth's upper mantle[END_REF]) and represents a contribution of ~0.5 wt.% (by mass) of chondritic material [START_REF] Walker | Highly siderophile elements in the Earth, Moon and Mars: update and implications for planetary accretion and differentiation[END_REF]. Based on highly siderophile element isotope signatures, this material was inferred to originate from the in-ner solar system, which may imply that late accretion did not provide a significant amount of water to our planet [START_REF] Bermingham | The ruthenium isotopic composition of the oceanic mantle[END_REF][START_REF] Fischer-Gödde | Ruthenium isotopic evidence for an inner Solar System origin of the late veneer[END_REF]Bermingham et al. 2018b). A recent comparison of the Ru isotope composition of Archean rocks from South West Greenland (Fischer-Gödde et al. 2020) with the modern silicate mantle [START_REF] Bermingham | The ruthenium isotopic composition of the oceanic mantle[END_REF], however, indicates that carbonaceouschondrite-like material may have been delivered to Earth during late accretion. The implications for the origin of Earth's water are yet to be determined because the extent to which the unusual Ru isotope composition of South West Greenland represents the mantle composition before late accretion is as yet unknown [START_REF] Bermingham | Ancient rock bears isotopic fingerprints of Earth's origins[END_REF]. Future work that determines the extent of Ru isotope variability in Earth's mantle will be important for constraining the origin and timing of delivery of Earth's volatiles.

Constraints from Nitrogen Isotopes

A clear link between nitrogen abundance and the NC-CC classification is yet to be determined (see Sect. 5.2). However, a dichotomy seems to exist for nitrogen isotope ( 15 N/ 14 N) ratios, with CC irons being enriched in 15 N compared to NC irons [START_REF] Scott | Isotopic dichotomy among meteorites and its bearing on the protoplan-etary disk[END_REF]). These observations are consistent with the general trend of increasing 15 N-enrichments with radial distance from the Sun (Füri and Marty 2015), i.e., from the Sun (δ 15 N Sun = -383 ± 8‰; [START_REF] Marty | A 15 N-poor isotopic composition for the Solar System as shown by Genesis solar wind samples[END_REF] to the Earth-Moon system (δ 15 N Earth-Moon ≈ -40 to +26‰; [START_REF] Palot | Evidence for deep mantle convection and primordial heterogeneity from nitrogen and carbon stable isotopes in diamond[END_REF][START_REF] Cartigny | Nitrogen isotopes and mantle geodynamics: the emergence of life and the atmosphere-crust-mantle connection[END_REF]Füri et al. 2015;[START_REF] Labidi | Hydrothermal 15 N 15 N abundances constrain the origins of mantle nitrogen[END_REF] and Mars (δ 15 N Mars,mantle -30‰; [START_REF] Mathew | Early evolution of Martial volatiles: nitrogen and noble gas components in ALH84001 and Chassigny[END_REF] and to comets (δ 15 N Comet ≈ +800 to 1000‰; Bockelée-Morvan et al. 2015, and references therein). In contrast, nitrogen isotope ratios recorded by chondrites do not display the NC-CC dichotomy. Enstatite chondrites are characterized by low δ 15 N values (δ 15 N EC = -47 to 0‰; [START_REF] Kung | Nitrogen abundances and isotopic compositions in stony meteorites[END_REF][START_REF] Grady | Compositional differences in enstatite chondrites based on carbon and nitrogen stable isotope measurements[END_REF]), but the nitrogen isotopic compositions of ordinary (δ 15 N OC = -4 to +75‰;

Hashizume and Sugiura 1995) and carbonaceous chondrites (δ 15 N CI/CM = -6 to +56‰, excluding Bells (CM2); [START_REF] Kerridge | Carbon, hydrogen and nitrogen in carbonaceous chondrites: abundances and isotopic composi-tions in bulk samples[END_REF][START_REF] O'd. Alexander | The provenances of asteroids, and their contributions to the volatile inventories of the terrestrial planets[END_REF]) largely overlap. 8 Since only enstatite chondrites have negative δ 15 N values, [START_REF] Javoy | Carbon and nitrogen isotopes in the mantle[END_REF] suggested that they are the source of nitrogen in Earth's primitive mantle (δ 15 N ≈ -40‰; [START_REF] Palot | Evidence for deep mantle convection and primordial heterogeneity from nitrogen and carbon stable isotopes in diamond[END_REF][START_REF] Cartigny | Nitrogen isotopes and mantle geodynamics: the emergence of life and the atmosphere-crust-mantle connection[END_REF][START_REF] Dalou | Redox control on nitrogen isotope fractionation during planetary core formation[END_REF]. As outlined in Sect. 5.2, enstatite chondrites contain a small but significant amount of water, and they contain important quantities of nitrogen, possibly as a result of enhanced nitrogen solubility under the reducing conditions at which their parent bodies formed [START_REF] Libourel | Nitrogen solubility in basaltic melt. Part I. Effect of oxygen fugacity[END_REF][START_REF] Boulliung | Oxygen fugacity and melt composition controls on nitrogen solubility in silicate melts[END_REF]. Therefore, enstatite chondrite-like bodies, presumably derived from the NC reservoir [START_REF] Warren | Stable-isotopic anomalies and the accretionary assemblage of the Earth and Mars: a subordinate role for carbonaceous chondrites[END_REF], are not only strong candidates for Earth's primary building blocks but also for the dominant source of terrestrial water and nitrogen [START_REF] Javoy | Carbon and nitrogen isotopes in the mantle[END_REF][START_REF] Lodders | An oxygen isotope mixing model for the accretion and composition of rocky planets[END_REF][START_REF] Dauphas | The isotopic nature of the Earth's accreting material through time[END_REF][START_REF] Piani | Earth's water may have been inherited from material similar to enstatite chondrite meteorites[END_REF].

It is noteworthy that the nitrogen isotopic signature of the modern (upper) terrestrial mantle (δ 15 N ≈ -5 ± 2‰ in diamonds and mid-ocean ridge basalts; Cartigny and Marty 2013) has previously been interpreted to reflect that CI/CM-like planetesimals were the major sources of nitrogen on Earth (e.g., Alexander 2017). Yet, [START_REF] Li | Nitrogen isotope fractionation during terrestrial core-mantle separation[END_REF] and [START_REF] Dalou | Redox control on nitrogen isotope fractionation during planetary core formation[END_REF] recently showed that core formation, possibly coupled with degassing, could have increased the δ 15 N mantle value from an enstatite chondrite-like signature to the present-day value. The degree of N isotope fractionation, however, depends on the redox conditions and on N speciation. The distinct nitrogen isotope signature of other terrestrial reservoirs such as the atmosphere and crust (δ 15 N 0 to + 6‰; Cartigny and Marty 2013) suggests that CC-type material contributed some nitrogen to an enstatite chondritelike Earth [START_REF] Javoy | Carbon and nitrogen isotopes in the mantle[END_REF]).

Together, Earth's hydrogen, nitrogen, oxygen, and nucleosynthetic isotope signatures of refractory elements such as those shown in Fig. 2 suggest that the terrestrial building blocks may have included both NCand CC-type bodies. A contribution of CC-type (CI-and/or CM-like) material may also be required to explain the isotopic composition of hydrogen and nitrogen in the interiors of Mars and Earth's Moon (Alexander 2017;Füri et al. 2015[START_REF] Füri | The production rate of cosmogenic deuterium at the Moon's surface[END_REF]. If so, this would imply that the NC and CC reservoirs communicated with each other during the main stages of terrestrial planet accretion. Given the lack of any (known) samples from Venus and Mercury, however, it remains unclear if terrestrial planets closer to the Sun accreted both NC-and CC-type material, and if so, how much of each type.

Challenges, however, remain in relating meteorite volatile compositions to accretion locations in the disk, some of which have been raised in this chapter. These complicate the interpretation that NC meteorites represent inner disk material that is strictly "volatile-poor" relative to CC meteorites which represent the outer disk and are "volatile-rich"; As such, if and how the NC-CC dichotomy can be used to reconstruct planetary volatile accretion requires further investigation. 8 The different chondrite groups (e.g., CI, CM, CR, CO, CV, CK) within a given class (e.g., carbonaceous chondrites) record a wide range of δ 15 N values (e.g., [START_REF] Pearson | Carbon and nitrogen in carbonaceous chondrites: elemental abundances and stable isotopic compositions[END_REF]. For a given group, the δ 15 N value varies with petrologic type, i.e., the extent of thermal metamorphism; δ 15 N generally decreases with increasing petrologic type from 1 to 4 [START_REF] Pearson | Carbon and nitrogen in carbonaceous chondrites: elemental abundances and stable isotopic compositions[END_REF]). In addition, the nitrogen extraction method (combustion vs. pyrolysis) can yield distinct δ 15 N values (e.g., [START_REF] Grady | Compositional differences in enstatite chondrites based on carbon and nitrogen stable isotope measurements[END_REF]. Therefore, care should be taken when comparing data from different studies.

Conclusions

The NC-CC isotope dichotomy appears to record fundamental chemical and/or physical processes in the disk. Although there is an abundance of models and circumstantial evidence that converge on the idea that the parent bodies of CC meteorites formed in the outer proto-planetary disk beyond Jupiter's orbit and the snow line, irrefutable evidence of their (radial) accretion location is yet to be identified. It remains to be answered what the relationship is between nucleosynthetic isotope signatures in meteorites, their volatile compositions, and their precursor disk composition, and thus if the combination of a nucleosynthetic isotope composition and volatile element content can trace communication between different regions of the disk. Detailed observations of the planet forming process(es) in neighboring systems, synthesized with disk and planetary accretion models and the chemical/isotopic compositions of meteorites, will undoubtedly provide the most comprehensive understanding of the evolution of the protoplanetary disk. These data will be essential to resolving what the NC-CC isotope dichotomy represents. Does the NC-CC isotope dichotomy provide constraints on the temporal, spatial, and chemical evolution of the protoplanetary disk or does it not because of decoupling between the isotopic and chemical characteristics of an object? Resolving this and other issues is important to determining the significance of the NC-CC isotope dichotomy and if the NC-CC character of a parent body permits it to be used to trace the interplay between planetary building blocks.

Fig. 2

 2 Fig. 2 Variation in 50 Ti/ 47 Ti and 54 Cr/ 52 Cr, expressed in ε units (see Sect. 3 for details), between undifferentiated (filled symbols) and differentiated meteorites (open symbols) in comparison to Earth, Moon, and Mars (star symbols). CCand NC-type bodies are represented in blue and red, respectively. Modified from Warren (2011) and Scott et al. (2018), and data sources therein.

Fig. 3

 3 Fig. 3 (a) Hydrogen, (b) carbon, and (c) nitrogen content (in wt%) of carbonaceous (CI, CM, Tagish Lake (TL), CR, CO, CV, CK), ordinary (OC), and enstatite chondrites (EC). Hydrogen abundances from Vacher et al. (2020) (dark green) are lower, in most cases, than those from Alexander et al. (2012, 2018) (light green) as a result of pre-degassing and removal of atmospheric contamination under vacuum at 120 °C for 48 h before measurement. Hydrogen abundances of ECs are from Piani et al. (2020). Carbon and nitrogen concentrations are from Alexander et al. (2012, 2018), Grady et al. (1986),[START_REF] Hashizume | Nitrogen isotopes in bulk ordinary chondrites[END_REF][START_REF] Hashizume | Nitrogen isotopes in bulk ordinary chondrites[END_REF][START_REF] Pearson | Carbon and nitrogen in carbonaceous chondrites: elemental abundances and stable isotopic compositions[END_REF].

The IUPAC-IUGS convention for expressing dates following recommendation by[START_REF] Holden | IUPAC-IUGS common definition and convention on the use of the year as a derived unit of time (IUPAC recommendations 2011)[END_REF] is that annus (a) is used for one year as a unit of time, both for absolute time and time differences. Hence, considering the declensions, it is Ga = Giga annis (ablative for age; used as appellative) or Ga = Giga annos (pl. accusative, for how long ago).

The enrichments of C, N, and O (relative to solar) observed in outer planet atmospheres were caused by the accretion of ices bearing these highly volatile elements. Highly volatile elements have 50% condensation temperatures below

K, volatile elements below 665 K, moderately volatiles between 1335 and 665 K, and refractories above 1335 K (for a gas of solar composition at a total pressure of 10 -4 bar; Lodders 2003).

Typically, isotope ratios are measured, and meteorite samples with an excess or depletion of a given isotope will have a higher or lower (respectively) isotope ratio than the terrestrial reference value. Positive or negative isotope anomalies arise from the definition of the isotope notation, which is the difference between the measured sample ratio from that of the terrestrial standard value in percent (%), permil (‰), on a scale of parts per 10,000 (ε units), or in parts per 1,000,000 (µ units). The advantage of using the differences in the ratios is that these scales are easier to work with, especially for samples with small isotope anomalies (bulk meteorites, chondrules, CAIs). Terrestrial materials are generally defined as 'normal' (or equal to zero) in isotopic composition.

Additional sources of achondrites to Earth include Mars and the Moon. The meteorites referred to here do not include micrometeorites.

Proposals for the origin of meteoritic oxygen isotopic variations now include photochemical effects[START_REF] Clayton | Solar system: self-shielding in the solar nebula[END_REF]) and non-mass dependent isotopic effects[START_REF] Thiemens | The mass independent fractionation of oxygen: a novel isotope effect and its possible cosmochemical implications[END_REF].

Measurable retention of any originally accreted water (ice) on the parent body requires post-accretion aqueous alteration; the water abundance then also depends on kinetics and the degree of aqueous processing and/or thermal metamorphism on the parent body. It should be noted that important intra-and inter-chondrite variations in water concentrations exist which can be explained, in part, by varying proportions of H-bearing components in a given (sub-)sample (e.g.,[START_REF] Pearson | Hydrogen isotopic composition of the Tagish Lake me-teorite: comparison with other carbonaceous chondrites[END_REF]. Analytically, not all extraction techniques may clearly distinguish between primordial and (terrestrial) adsorbed water (e.g.,[START_REF] Robert | The concentration and isotopic composition of hydrogen, carbon and nitrogen in car-bonaceous meteorites[END_REF][START_REF] Vacher | Hydrogen in chondrites: influence of parent body alteration and atmospheric contamination on primordial components[END_REF], and terrestrial exposure of "finds" can modify water concentrations[START_REF] Stephant | Terrestrial exposure of a fresh Martian meteorite causes rapid changes in hydrogen isotopes and water concentrations[END_REF]. Thus, the reported bulk water contents of chondrites cannot directly reflect the original accreted water in all cases.

Individual CI and CM chondrites record a wide range of hydrogen isotope (δD) values, possibly due, in part, to variable degrees of aqueous alteration and sampling biases[START_REF] O'd. Alexander | The provenances of asteroids, and their contributions to the volatile inventories of the terrestrial planets[END_REF](Alexander et al. , 2018;;[START_REF] Kerridge | Carbon, hydrogen and nitrogen in carbonaceous chondrites: abundances and isotopic composi-tions in bulk samples[END_REF][START_REF] Robert | The D/H ratio in chondrites[END_REF]. Therefore, Alexander et al. (2018) used average values of 78 ± 7‰ and -53 ± 130‰ for the CI and CM chondrite groups, respectively.

Acknowledgements

We thank the International Space Science Institute (Bern, CH) for hosting and sup-porting the workshop "Reading Terrestrial Planet Evolution in Isotopes and Element Measurements" and the editors of this book. Our sincere thanks to editor in chief H. Lammer for his guidance and patience. We also thank thorough reviews by A.M. Davis and C.M.O'D. Alexander. KRB was supported by NASA Emerging Worlds grants 80NSSC18K0496 and NNX16AN07G, NASA SSERVI grant NNA14AB07A, and the De-partment of Earth and Planetary Sciences, Rutgers University. EF and BM were supported by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (grant agreements no. 715028 and no. 695618, respectively). Work by KL was supported in part by NSF grant AST 1517541 and the McDonnell Centre for the Space Sciences. This is CRPG-CNRS contribution 2374.