11 December 1998 Chemical Physics Letters 298 Ž1998. 161–169 ˜ 1 S / in its ground and Õ5 Rotational spectroscopy of LiCCH žX vibrational states A.J. Apponi 1, M.A. Brewster, L.M. Ziurys ) Department of Chemistry, Department of Astronomy, and Steward ObserÕatory, The UniÕersity of Arizona, 933 North Cherry AÕenue, Tucson, AZ 85721-0065, USA Received 3 August 1998; in final form 16 October 1998 Abstract ˜ 1 S . in its ground and Õ5 vibrational states has been recorded using direct The pure rotational spectrum of LiCCH ŽX absorption, millimeterrsub-millimeter spectroscopy in the range of 105–538 GHz. For the main isotopomer, 21 transitions were measured for the ground state and 10 transitions each for the excited levels Õ5 s 1, 2, and 3, where l-type doubling was resolved. Several transitions were also recorded for 6 LiCCH, Li13CCH, LiC13CH, and LiCCD. All were observed in their natural abundances except for LiCCD. Rotational, l-type doubling and vibration–rotation constants were determined for LiCCH, as well as rs and ro structures. q 1998 Elsevier Science B.V. All rights reserved. 1. Introduction Synthesis techniques have widely utilized organolithium species to produce new and exotic compounds Že.g. w1x.. For example, LiCCH is used in nucleophilic substitution reactions in the creation of large alkynes. t-Butyl-lithium, a strong base, is employed to extract protons from certain molecular sites. Many such compounds, however, come in solvated form and their exact structure and degree of aggregation in this medium is almost always unknown w2,3x. Their role in reaction mechanisms is consequently quite uncertain. Since understanding ) Corresponding author. E-mail: [email protected] Current address: Harvard University, Division of Engineering and Applied Sciences, 29 Oxford Street, Cambridge, Massachusetts 02138. 1 such mechanisms is vital for the creation of new chemical species, obtaining detailed information about the structure and bonding in organolithium compounds is desirable. Accurate geometries for individual organolithium species for the most part are sparse. The usual methods used to obtain such data involve either X-ray crystallography w4x, or IR vibrational measurements while the species is frozen in an argon matrix w5x. Both techniques probe oligomeric structures that are influenced by interactions with the matrix or neighboring species. For example, the X-ray crystal structure of LiCH 3 applies to either the tetramer or the hexamer form w6x. Only rarely has a structure been obtained for a monomer of an organolithium compound, and these results have invariably involved a very large ligand attached to the Li atom, such as CHŽSiMe 3 . 2 w7x. However, almost all ab 0009-2614r98r$ - see front matter q 1998 Elsevier Science B.V. All rights reserved. PII: S 0 0 0 9 - 2 6 1 4 Ž 9 8 . 0 1 2 0 6 - 8 A.J. Apponi et al.r Chemical Physics Letters 298 (1998) 161–169 162 Table 1 Žcontinued. Table 1 Observed transition frequencies of LiCCH a Y Õ5l l Õ5 J ™J nobs nobs – ncalc Ž0 0 . 4 ™5 5™6 6 ™7 7™8 8™9 9™10 10 ™11 11™12 12 ™13 13™14 14 ™15 15™16 16 ™17 17™18 18™19 19™ 20 20 ™ 21 21™ 22 22 ™23 23™ 24 24 ™ 25 15™16 16 ™17 17™18 18™19 19™ 20 20 ™ 21 21™ 22 22 ™23 23™ 24 24 ™ 25 15™16 16 ™17 17™18 18™19 19™ 20 20 ™ 21 21™ 22 22 ™23 23™ 24 24 ™ 25 15™16 16 ™17 17™18 18™19 19™ 20 20 ™ 21 21™ 22 22 ™23 23™ 24 24 ™ 25 15™16 16 ™17 105 435.229 126 519.255 147 601.676 168 682.163 189 760.482 210 836.348 231 909.480 252 979.625 274 046.480 295 109.785 316 169.284 337 224.735 358 275.807 379 322.241 400 363.805 421 400.219 442 431.149 463 456.409 484 475.691 505 488.729 526 495.255 339 469.030 360 657.855 381 841.608 403 020.008 424 192.728 445 359.467 466 519.970 487 673.939 508 821.067 529 961.077 341 160.423 362 451.977 383 738.046 405 018.155 426 291.967 447 559.248 468 819.669 490 072.923 511 318.617 532 556.546 343 485.894 364 881.275 386 264.129 407 633.963 428 990.287 450 332.813 471 661.175 492 975.157 514 274.604 535 559.394 343 598.372 365 038.978 0.006 y0.011 0.005 y0.004 0.001 0.007 0.006 0.016 0.006 y0.012 y0.024 0.001 0.000 y0.014 y0.003 0.022 y0.003 0.005 0.005 0.001 y0.008 y0.062 y0.039 y0.013 0.028 0.049 0.039 0.034 0.024 y0.010 y0.059 0.068 y0.009 0.026 0.022 y0.036 y0.059 y0.055 y0.014 y0.008 0.074 y0.276 y0.001 0.166 0.225 0.135 0.017 y0.135 y0.221 y0.134 0.216 0.191 0.011 Ž11c . Ž11d . Ž2 0 . Ž2 2c . Ž2 2d . Ž3 3c . Ž3 3d . a Y J ™J nobs nobs – ncalc 17™18 18™19 19™20 20 ™21 21™22 22 ™23 23™24 24 ™25 15™16 16 ™17 17™18 18™19 19™20 20 ™21 21™22 22 ™23 23™24 24 ™25 15™16 16 ™17 17™18 18™19 20 ™21 21™22 22 ™23 23™24 15™16 16 ™17 17™18 18™19 20 ™21 21™22 22 ™23 23™24 386 473.385 407 901.290 429 322.285 450 736.006 472 142.141 493 540.345 514 930.277 536 311.571 343 882.241 365 378.003 386 873.670 408 369.291 429 864.324 451 358.524 472 851.542 494 342.885 515 832.050 537 318.461 347 220.786 368 895.881 390 565.937 412 230.590 455 542.108 477 188.194 498 827.254 520 458.911 347 235.880 368 916.350 390 593.158 412 266.158 455 600.550 477 261.723 498 918.789 520 571.650 y0.114 y0.128 y0.088 y0.026 0.065 0.134 0.109 y0.140 0.091 0.002 y0.130 y0.042 y0.018 0.010 0.058 0.064 0.024 y0.065 0.037 0.030 0.017 0.007 y0.030 y0.026 y0.025 0.036 y0.054 y0.015 0.004 y0.022 0.018 0.031 0.031 y0.038 In MHz. initio calculations of geometries of organolithium compounds have involved monomers, and theories of mechanisms usually concern reactions of individual molecules rather than large complexes. A clear approach to accurate structural determinations of organolithium compounds is gas-phase high-resolution spectroscopy. In the past, such investigations have been carried out for lithium-bearing molecules, but have been restricted primarily to halides w8x, hydride w9x, and hydroxide w10,11x species. In fact, spectroscopic data of any kind of molecule where lithium is attached to an organic ligand are virtually non-existent. A.J. Apponi et al.r Chemical Physics Letters 298 (1998) 161–169 In order to provide accurate geometries for organolithium monomers, we have begun a study of the gas-phase millimeterrsub-millimeter spectrum of such species. Recently, we have recorded the rotational spectrum of LiCH 3 , including its deuterium and 6 Li isotopomers, and have established a structure for this molecule w12,13x. Such work is an extension of measurements we have carried out for other metal-alkyl compounds, including NaCH 3 w14x, KCCH w15x, and NaCCH w16,17x, as well as of LIF electronic spectroscopy of alkaline earth and transi- 163 tion metal species conducted by the Bernath group and others w18,19x. In this Letter we report the observation of the ˜ 1 S ground pure rotational spectrum of LiCCH in its X state. To our knowledge, this molecule has never been studied before by any spectroscopic technique. LiCCH was created by the reaction of lithium vapor with HCCH or HCCBr. Transitions were recorded for this species in its ground vibrational state and several quanta of the low-lying Õ5 bending mode. Rotational transitions were also measured for the Table 2 Observed transition frequencies of LiCCH isotopomersa Ž Õ5l . Ž0 0. Ž11c . Ž11d . Ž2 0 . Ž2 2c . Ž2 2d . a Y J ™J X 17 ™ 18 18 ™ 19 19 ™ 20 20 ™ 21 21 ™ 22 22 ™ 23 23 ™ 24 24 ™ 25 25 ™ 26 26 ™ 27 27 ™ 28 18 ™ 19 19 ™ 20 20 ™ 21 21 ™ 22 22 ™ 23 18 ™ 19 19 ™ 20 20 ™ 21 21 ™ 22 22 ™ 23 18 ™ 19 19 ™ 20 20 ™ 21 21 ™ 22 22 ™ 23 18 ™ 19 19 ™ 20 20 ™ 21 21 ™ 22 22 ™ 23 18 ™ 19 19 ™ 20 20 ™ 21 21 ™ 22 22 ™ 23 In MHz. 6 LiCCH Li13 CCH LiCCD LiC13 CH nobs nobs –Õcalc nobs nobs – ncalc nobs nobs – ncalc nobs nobs – ncalc – 438 364.104 461 395.148 484 419.928 507 438.165 530 449.521 – – – – – 441 210.873 464 387.712 487 557.692 510 720.507 533 875.766 443 569.180 466 865.011 490 153.198 513 433.408 536 705.276 446 228.515 469 588.324 492 931.197 516 256.945 539 565.591 446 671.750 470 125.435 493 570.688 517 007.092 540 434.302 447 346.061 470 904.403 494 462.627 518 020.071 541 576.022 – 0.019 y0.003 y0.024 y0.009 0.017 – – – – – 0.040 y0.013 y0.044 y0.013 0.031 0.064 y0.013 y0.067 y0.047 0.064 y0.019 0.030 0.013 y0.041 0.017 0.017 y0.028 y0.001 0.021 y0.009 y0.006 0.005 0.008 y0.011 0.004 – – – – – 442 233.437 461 422.136 480 605.857 499 784.460 518 957.688 538 125.393 – – – – – 0.026 0.010 y0.028 y0.021 0.020 0.034 – – – 442 223.525 463 239.297 484 249.046 505 252.608 526 249.780 – – – – – – y0.010 0.034 y0.010 y0.036 0.023 – – – 370 101.543 390 632.528 – 431 680.026 452 195.620 472 705.901 493 210.012 513 708.093 – – – 0.080 y0.070 – 0.036 y0.113 0.069 y0.019 0.020 – – – 164 A.J. Apponi et al.r Chemical Physics Letters 298 (1998) 161–169 isotopically substituted species LiCCD, 6 LiCCH, Li13 CCH, and LiC13 CH. Spectroscopic parameters were determined for all five isotopomers and the Õ5 bending mode, from which the geometry of LiCCH was calculated. Preliminary structural results for the ground vibrational state of LiCCH were presented in a previous paper in the organic chemistry literature w20x. Here we present the complete data set, and discuss the spectroscopic parameters derived in terms of bonding and rigidity in the molecule. We additionally compare the Õ5 vibrational data to those of similar metal-bearing species with low-lying bending modes. 2. Experimental The transition frequencies for LiCCH and its isotopomers were measured using a millimeterrsub-mm direct absorption spectrometer, the details of which are given elsewhere w21x. To summarize briefly, the instrument consists of a Gunn oscillatorrSchottky diode multiplier source, a reaction chamber in which the molecules to be studied are created, and a helium-cooled InSb detector. The radiation is propagated quasi-optically through the cell, which is a double-pass system. FM modulation of the source enables phase-sensitive detection. The LiCCH molecules were generated by the reaction of acetylene and lithium vapor. The metal vapor was produced in a Broida-type oven, which had to be slightly modified to accommodate lithium. This modification consisted of lining the usual alumina crucible used to contain the metal in the oven with a machined iron insert, which prevented lithium from attacking the crucible. Approximately 30 mTorr of acetylene was used for the reaction, which was mixed with an equivalent amount of argon carrier gas. These gases were flowed into the cell over the top of the oven, and the whole mixture discharged using a 750 mA current at 20–40 V. For the 6 Li isotopomer, the signal-to-noise was sufficient to observe its spectrum in natural abundance, but pure lithium 6 metal was used for most of the measurements to save time. Li13 CCH and LiC13 CH were studied only in their natural abundance Ž12 Cr13 C ; 90r1.. For the synthesis of the deuterated isotopomer, D 2 C 2 was used as a precursor, which was produced by the reaction of D 2 O and CaC 2 followed by cryogenic distillation. Finally, it was found that use of BrCCH instead of HCCH as a reactant gave much stronger signals, in fact, as much as a factor of Fig. 1. Spectra of the J s 22 ™ 23 rotational transition of LiCCH and the J s 20 ™ 21 line of 6 LiCCH in the natural lithium 6 abundance observed near 485.5 GHz. Also visible in these data is one of the l-type doublets the J s 22 ™ 23 transition originating in the Õ4 s 1 state. This spectrum is a composite of two separate 100 MHz scans, each 30 s in duration. A.J. Apponi et al.r Chemical Physics Letters 298 (1998) 161–169 Fig. 2. Spectrum of the J s 24 ™25 rotational transition of LiCCD recorded near 480.6 GHz. This scan covers 100 MHz in frequency and was acquired in about 30 s. 165 given by l s "1 and l s "3. In this case, only lines for l s "3 were recorded. Although 7 Li has a nuclear spin of 3r2, no quadrupole splitting was observed in any transition. However, it might be resolved in lower rotational lines not studied in this work. In Table 2, the frequencies recorded for the deuterium, lithium 6, and 13 C isotopomers are presented, which lie in the range of 370–542 GHz. For 6 LiCCH, five transitions of the ground vibrational state were measured, as well as five lines of the first and second quanta of the Õ5 bending mode. Again, l-type doublets were observed in the Õ5 s 1 state and l s 0, "2 components for the Õ5 s 2 data. For LiCCD, LiC13 CH, and Li13 CCH, six, seven, and five transitions were recorded, respectively, in the ground vibrational state only. 50 in signal enhancement. No discharge was required in this case, and only ; 1 mTorr of BrCCH was needed. However this precursor also produced many lines of Li79 Br and Li81 Br Žground and excited vibrational states. and hence was not as suitable as HCCH for the LiCCH measurements. BrCCH was synthesized by the dehydrohalogenation of 1,2 dibromoethene by a strong base ŽNaOH.. Center frequencies were determined from an average of two 5 MHz scans, one in increasing and the other in decreasing frequency, except for the 13 C isotopomers. In this case, eight such scans were averaged. Experimental uncertainty is estimated to be "50 kHz. 3. Results The observed rotational transitions of LiCCH in its ground and Õ5 bending modes are presented in Table 1. Twenty-one separate transitions were recorded for the ground state in the range of 105–527 GHz and 10 transitions were measured for the Õ5 s 1,2, and 3 states between 339 and 538 GHz. For the Õ5 lines, l-type doubling and l –pe resonance was observed, splitting the Õ5 s 1 state into doublets 11c and 11d , where ‘c’ denotes lower-frequency component and ‘d’ the upper one, and the Õ5 s 2 state into three separate levels 2 2c , 2 2d , and 28. The Õ5 s 3 state should in principle be split into four levels, Fig. 3. Spectra of the J s 23™24 transition of Li13 CCH and the J s 22 ™23 line of LiC13 CH, near 505.2 and 472.7 GHz, respectively, observed in the natural 13 C abundance. These spectra here span 5 MHz in frequency and consists of an average of 8 scans, each 30 s in duration. A.J. Apponi et al.r Chemical Physics Letters 298 (1998) 161–169 166 Representative spectra are shown in Figs. 1–3. Fig. 1 displays the J s 22 ™ 23 transition of LiCCH and the J s 20 ™ 21 transition of 6 LiCCH in their ground vibrational states near 484.5 GHz. The 6 Li feature is recorded here in the natural lithium abundance. Another line is present in the spectrum, which arises from the Õ4 bending mode of the main isotopomer. This spectrum covers 160 MHz in frequency and is a composite of two scans, each 100 MHz in scan length, and 30 s in duration. Fig. 2 shows the J s 24 ™ 25 transition of LiCCD near 480.6 GHz, created using DCCD. This 100 MHz scan was taken in 30 seconds. Fig. 3 displays the J s 22 ™ 23 line of LiC13 CH at 472.7 GHz and the J s 23 ™ 24 line of Li13 CCH near 505.2 GHz, observed in the natural 13 C abundance. The frequency coverage in these data is 5 MHz; they are each an average of eight, 30 s scans. 4. Analysis 1 Because the ground electronic term of LiCCH is S, only molecular frame rotation needs to be con- sidered in the analysis of the ground vibrational state for all isotopomers. These data were consequently fit with only rotational Ž B . and centrifugal distortion Ž D and H . terms. For the Õ5 bending mode measurements, however, l-type doubling and l-type resonance must be considered in the Hamiltonian. To account for the splitting in the Õ5 s 1 state, a term was added to the rotational Hamiltonian with the form w22x: D E l - type s " 12 qJ Ž J q 1 . y q D J 2 Ž J q 1 . 2 4 where q is the l-type doubling constant and q D is its centrifugal distortion correction. To model the splittings in the Õ5 s 2 state, where l-type doubling and l-type resonance both play a role, the energy difference between the Õ5l s 2 0 and 2 2 states must be known. For LiCCH, this quantity has not yet been determined. Therefore, only effective l-type doubling parameters could be established for the Õ5 s 2 levels, which reflect the local sub-state splittings. A similar situation is found for the Õ5 s 3 data. For the Table 3 Molecular constants of LiCCH, 6 LiCCH, LiCCD, LiC13 CH and Li13 CCH a Constant Ž Õ5l . LiCCH 6 B Ž0. D Ž0. H Ž0. B Ž11 . D Ž11 . H Ž11 . q Ž11 . q D Ž11 . B Ž2 0 . D Ž2 0 . H Ž2 0 . B Ž2 2 . D Ž2 2 . H Ž2 2 . qeff Ž2 2 . q D,eff Ž2 2 . q H,eff Ž2 2 . B Ž3 3 . D Ž3 3 . H Ž3 3 . qeff Ž3 3 . q D,eff Ž3 3 . rms of fit 10 544.0909Ž46. 0.011373Ž14. 2.7Ž1.3. = 10y8 10 641.545Ž13. 0.013186Ž30. 7.4Ž2.2. = 10y8 53.5077Ž66. 0.0012808Ž70. 10 751.250Ž19. 0.035019Ž43. 3.162Ž32. = 10y6 10 745.059Ž13. 0.005800Ž30. y1.342Ž22. = 10y6 0.017917Ž36. 9.7Ž1.0. = 10y7 1.12Ž82. = 10y9 10 856.192Ž17. 0.010780Ž43. 1.05Ž34. = 10y7 y2.450Ž20. = 10y6 1.18Ž29. = 10y10 0.078 a LiCCD LiC13 CH Li13 CCH 11 545.322Ž12. 0.013054Ž13. – 11 652.7529Ž86. 0.0151548Ž95. – 63.241Ž17. 0.001636Ž19. 11 774.63Ž11. 0.04730Ž24. 6.06Ž18. = 10y6 11 766.998Ž74. 0.00361Ž17. y2.70Ž13. = 10y6 0.02628Ž17. 2.02Ž53. = 10y6 2.12Ž44. = 10y9 9 622.8736Ž92. 0.0086047Ž69. – 10 287.5226Ž67. 0.0106889Ž66. – 10 539.046Ž12. 0.011241Ž11. – 0.030 0.024 0.066 0.025 LiCCH Ž 1. In MHz; errors quoted are 3 sigma and apply to the last quoted decimal places. A.J. Apponi et al.r Chemical Physics Letters 298 (1998) 161–169 Õ5 s 2 state, the l s "2 lines were fit with an effective l-doubling constant qeff defined by w23x: D E s " 12 qeff J Ž J q 1 . J Ž J q 1 . y 2 4. Ž 2. For the Õ5 s 3 data, the l s "3 lines were modeled with a similar effective term of the form w23x: D E s " 12 qeff J Ž J q 1 . 3 . Ž 3. A second-order correction q D,eff was needed to fit the data in every case and in some instances a third-order term q H,eff , as well. The results of this analysis are given in Table 3. As the table shows, the second-order centrifugal distortion parameter H was necessary to analyze the main isotope data, including all excited vibrational states, likely because of the wide range of transitions recorded. H was not needed to fit the spectra of the other isotopomers except the Õ5 s 2 state of 6 LiCCH. A second-order correction to qeff , q H,eff , was needed for the Õ5 s 2 analyses as well. In general the spectroscopic parameters are well-determined. The rms of the fits for the individual isotopomers, which include ground and excited vibrational states, are 78 kHz or better. The residuals from the fits are - 25 kHz for the LiCCH ground state transitions, less than 167 80 kHz for the isotopomer data Žwith one exception., and somewhat higher for the vibrationally excited lines of the main isotope Ž( 200 kHz.. Certain ro-vibrational terms were also determined for LiCCH and 6 LiCCH for the Õ5 mode. The vibrational satellite lines arising from this excited state were found to follow a very regular pattern, as shown in Fig. 4. This figure presents a stick diagram of the vibrational progression of the J s 21 ™ 22 transition for the ground and Õ5 states with approximate relative intensities. The Õ5 s 1, 2, and 3 lines appear at regular intervals relative to that of the ground state, and the 2 0 state is not widely separated from the 2 2 state, indicating a more rigid as opposed to quasilinear molecule. This pattern was fit using Eq. Ž4., based on an expression used for triatomic molecules from Lide and Matsumura w24x: 2 BÕ s B˜e y a 5 Ž Õ5 q 1 . q g 55 Ž Õ5 q 1 . q g l l l 2 , Ž 4. where B˜e s Be y Ý4is1 a i Ž Õi q d ir2.. The resulting parameters B˜e , a 5 , g 55 and g l l are presented in Table 4. Also listed in this table are similar terms derived for the Õ 2 bending modes of LiOH and Fig. 4. A stick figure showing the vibrational progression of the Õ5 mode of LiCCH in the J s 21 ™ 22 transition and the approximate relative intensities. The Õ5 s 1, 2, and 3 states exhibit a fairly regular pattern with relatively small l-type doubling and l-type resonance interactions. For the Õ5 s 3 state, only lines for l s 3 Žand not l s 1. were identified. A.J. Apponi et al.r Chemical Physics Letters 298 (1998) 161–169 168 Table 4 Vibrational dependence of BÕ for LiCCH and related moleculesa Species B˜eb a5 g 55 gl l LiCCH LiCCH LiOH MgOH 10 455.35Ž20. 11 446.61Ž50. 35 496.90 14 912.21 y83.905Ž50. y93.396Ž40. 176.03 111.00 4.91Ž10. 5.31Ž50. 21.98 21.31 y1.49Ž50. y1.91Ž50. y36.68 y18.26 6 a b In MHz. B˜e s Be y Ý4is1 a i Ž n i q d ir2.. MgOH. Although the parameters listed in Table 4 are mass dependent, such that their values must be compared with some caution, it is noteworthy that the second-order correction g i i and l-dependent g l l term are considerably smaller for LiCCH than MgOH or LiOH. This effect is particularly noticeable for MgOH, which has similar B˜e and a i values to LiCCH but a substantially larger g i i parameter Ž21.31 vs. 4.91 MHz. and g l l constant Žy18.26 vs. y1.49 MHz.. 5. Discussion The regular pattern exhibited by the Õ5 satellite lines and the relatively small values of the secondorder ro-vibration parameters indicate that LiCCH is a fairly rigid molecule. A negative g l l constant also suggests absence of Fermi resonance interactions. Quasilinear behavior does not appear to be particularly prominent in LiCCH, unlike MgOH w25x and LiOH w11x. Rigidity in lithium monoacetylide likely results from partial covalent bonding character and sp hybridization of the carbon atom. On the other hand, the bonding in the molecule certainly has a considerable ionic component. Due to the acidic nature of acetylenic hydrogens in HCCR, their alkynes are known to form carbanions in solution when treated with a strong base, such as lithium metal in liquid ammonia. The resulting complex is often written as Liq:CCRy w1x. However, this proposed structure is in solution phase and hence will be surrounded by stabilizing solvent molecules. The monomer in the gas-phase is in a different environment. If LiCCH were totally an ionic species, a non-linear T-shaped structure might be expected. The highly ionic alkali cyanide species such as KCN and NaCN are actually triangular in shape w26,27x, exhibiting a nondirectional polytopic bond where the Mq ion orbits the CNy moiety w28x. These species are also floppy molecules, meaning that the potential surface around the minimum is flat in the bending direction. Lithium cyanide is floppy as well, but in this case the geometry is linear with the isocyanide configuration, LiNC. For this molecule, the long range attraction term manages to overcome the short-range repulsion, unlike KCN and NaCN w29x. Long-range attractions favor the LiCN configuration, and the isocyanide is a compromise between the forces. In analogy to LiNC, LiCCH might be linear and still very ionic; however, it should also be more floppy than our data indicate. Because various isotopic substitutions were carried out, ro , and rs structures w30x could be derived for LiCCH. An ro geometry is calculated by using the differing moments of inertia relationships found for each isotopomer; rs structure use Kraitchman’s equations that partially account for the difference in moment of inertia when substituting a particular atom in a given structure. Hence, the rs method gives more reliable results because zero-point vibrations largely cancel. For both calculations, however, the Li13 CCH isotopomer data could not be used, because the substituted atom, 13 C, lies very close to the center of mass, as determined from the centerof-mass equation. The change in moment is therefore very small and is substantially affected by zero-point vibration effects. ŽUsing this substituted structure in Table 5 Bond lengths for LiCCH Structure r Li – C ˚. ŽA rC – C ˚. ŽA rC – H ˚. ŽA ro rs 1.886 1.888 1.230 1.227 1.060 1.062 A.J. Apponi et al.r Chemical Physics Letters 298 (1998) 161–169 the calculations gave results that deviated significantly from other combinations of substitutions.. The calculated bond lengths for LiCCH are presented in Table 5. As is seen in these data, the ro and rs ˚ structures disagree to within only 0.002–0.003 A, again evidence that this molecule is rigid. The C–H bond length is virtually identical to that of acetylene, ˚ w31x. The C[C bond which has rC – H s 1.060 A distance, on the other hand, is longer in LiCCH ˚ . than in HCCH Ž1.204 A˚ .. This lengthening Ž1.227 A may result from having a larger atom Žlithium. and hence electron cloud attached to the CCH group; also, LiCCH must be partially ionic and the resonance structure LiqCCHy has some contribution, again resulting in more electron density on the acetylide group. The C[C bond therefore lengthens to accommodate the extra density. 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