Abstract
Presuming that chemical insight can be gained from the difference between the molecular electron density and the superposition of the ground-state densities of the atoms in a molecule, it is pointed out that, for atoms with degenerate ground states, an unpromoted ‘‘atom in a molecule’’ is represented by a specific ensemble of the degenerate atomic ground-state wave functions and that this ensemble is determined by the anisotropic local surroundings. The resulting atomic density contributions are termed oriented ground state densities, and the corresponding density difference is called the chemical deformation density. The constraints implied by this conceptual approach for the atomic density contributions are formulated and a method is developed for determining them from x-ray scattering data. The electron density of the appropriate promolecule and its x-ray scattering are derived, the determination of the parameters of the promolecule is outlined, and the chemical deformation density is formulated.
References
94
Referenced
34
{'key': '2024021009344660800_r1'}
{'key': '2024021009344660800_r1a', 'first-page': 'II', 'volume': '16', 'year': '1977', 'journal-title': 'Isr. J. Chem.'}
/ Isr. J. Chem. (1977){'key': '2024021009344660800_r2'}
{'key': '2024021009344660800_r3'}
{'key': '2024021009344660800_r4'}
{'key': '2024021009344660800_r5'}
{'key': '2024021009344660800_r6'}
{'key': '2024021009344660800_r7'}
10.1002/anie.197700321
/ Angew. Chem. Int. Ed. Engl. (1977)10.1016/S0065-3276(08)60577-8
/ Adv. Quant. Chem. (1977)10.1002/anie.198502373
/ Angew. Chem. Int. Ed. Engl. (1985){'key': '2024021009344660800_r10'}
10.1107/S0365110X53001757
/ Acta Cryst. (1953)10.1107/S0365110X54000515
/ Acta Crystallogr. (1954)10.1107/S0365110X59000834
/ Acta Cryst. (1959){'key': '2024021009344660800_r12', 'first-page': '393', 'volume': '5', 'year': '1939', 'journal-title': 'Ann. Phys.'}
/ Ann. Phys. (1939)10.1098/rspa.1967.0102
/ Proc. Roy. Soc. London Ser. A. (1967)10.1007/BF00527670
/ Theor. Chim. Acta (1985)10.1002/qua.560290428
/ Int. J. Quantum Chem. (1986)10.1002/qua.560300311
/ Int. J. Quantum Chem. (1986)10.1021/ja00277a014
/ J. Am. Chem. Soc. (1986)10.1021/ja00259a006
/ J. Am. Chem. Soc. (1987)10.1063/1.1671828
/ J. Chem. Phys. (1969)10.1063/1.1673767
/ J. Chem. Phys. (1970){'key': '2024021009344660800_r17', 'first-page': '248', 'volume': '27', 'year': '1971', 'journal-title': 'Acta Cryst. A'}
/ Acta Cryst. A (1971)10.1021/ja00734a001
/ J. Am. Chem. Soc. (1971)10.1021/ja00778a012
/ J. Am. Chem. Soc. (1972){'key': '2024021009344660800_r17c', 'first-page': '635', 'volume': '28', 'year': '1972', 'journal-title': 'Acta Cryst. A'}
/ Acta Cryst. A (1972){'key': '2024021009344660800_r18'}
{'key': '2024021009344660800_r18a'}
{'key': '2024021009344660800_r19'}
10.1107/S0567740875002294
/ Acta Cryst. B (1975){'key': '2024021009344660800_r20'}
{'key': '2024021009344660800_r20a'}
{'key': '2024021009344660800_r21'}
{'key': '2024021009344660800_r21a'}
{'key': '2024021009344660800_r22'}
{'key': '2024021009344660800_r23'}
{'key': '2024021009344660800_r23a'}
{'key': '2024021009344660800_r23b'}
{'key': '2024021009344660800_r23c'}
{'key': '2024021009344660800_r24'}
10.1103/PhysRev.136.B864
/ Phys. Rev. B (1964)10.1103/PhysRev.140.A1133
/ Phys. Rev. A (1965)10.1073/pnas.76.12.6062
/ Proc. Natl. Acad. Sci. USA (1979){'key': '2024021009344660800_r25c'}
{'key': '2024021009344660800_r25d'}
10.1103/PhysRevB.35.7887
/ Phys. Rev. B (1987)10.1103/PhysRevLett.29.1363
/ Phys. Rev. Lett. (1972){'key': '2024021009344660800_r26a', 'first-page': '505', 'volume': '7', 'year': '1973', 'journal-title': 'Int. J. Quantum Chem. Symp.'}
/ Int. J. Quantum Chem. Symp. (1973){'key': '2024021009344660800_r26b', 'first-page': '12', 'volume': '24', 'year': '1981', 'journal-title': 'Phys. Rev. B'}
/ Phys. Rev. B (1981)10.1107/S0567739482000175
/ Acta. Cryst. A (1982){'key': '2024021009344660800_r26d', 'first-page': '525', 'volume': '19', 'year': '1986', 'journal-title': 'Int. J. Quantum Chem. Symp.'}
/ Int. J. Quantum Chem. Symp. (1986){'key': '2024021009344660800_r26e'}
10.1103/PhysRevLett.55.622
/ Phys. Rev. Lett. (1985){'key': '2024021009344660800_r26g', 'first-page': '1', 'volume': '30', 'year': '1986', 'journal-title': 'Int. J. Quantum Chem.'}
/ Int. J. Quantum Chem. (1986)10.1103/PhysRevB.33.5987
/ Phys. Rev. B (1986)10.1021/ja00200a006
/ J. Am. Chem. Soc. (1989)10.1021/ja00200a007
/ J. Am. Chem. Soc. (1989)10.1103/PhysRevA.34.29
/ Phys. Rev. A (1986){'key': '2024021009344660800_r29'}
{'key': '2024021009344660800_r30'}
10.1007/BF00547682
/ Theor. Chim. Acta (1979)10.1002/hlca.19860690518
/ Helv. Chim. Acta (1986)10.1016/S0065-3276(08)60326-3
/ Adv. Quantum Chem. (1981)10.1088/0034-4885/44/8/002
/ Rep. Progr. Phys. (1981)10.1021/ja00318a009
/ J. Am. Chem. Soc. (1984){'key': '2024021009344660800_r33c', 'first-page': '1259', 'volume': '57', 'year': '1984', 'journal-title': 'Croat. Chem. Acta'}
/ Croat. Chem. Acta (1984)10.1002/anie.198406271
/ Angew. Chem. Int. Ed. (1984)10.1063/1.446956
/ J. Chem. Phys. (1984)10.1021/ar00109a003
/ Acc. Chem. Res. (1985)10.1021/ja00230a009
/ J. Am. Chem. Soc. (1988)10.1063/1.453294
/ J. Chem. Phys. (1987){'key': '2024021009344660800_r33i'}
10.1021/j100401a010
/ J. Phys. Chem. (1986){'key': '2024021009344660800_r35'}
10.1002/ange.19891010507
/ Angew. Chem. (1989)10.1002/anie.198905971
/ Angew Chem. Intl. Ed. (1989){'key': '2024021009344660800_r35c'}
{'key': '2024021009344660800_r36'}
{'key': '2024021009344660800_r36a'}
{'key': '2024021009344660800_r37'}
{'key': '2024021009344660800_r38'}
{'key': '2024021009344660800_r39'}
{'key': '2024021009344660800_r39a'}
{'key': '2024021009344660800_r40'}
{'key': '2024021009344660800_r41'}
{'key': '2024021009344660800_r42'}
10.1007/BF00526414
/ Theoret. Chim. Acta (1987){'key': '2024021009344660800_r43a'}
{'key': '2024021009344660800_r44'}
{'key': '2024021009344660800_r45'}
{'key': '2024021009344660800_r45a'}
{'key': '2024021009344660800_r46'}
Dates
Type | When |
---|---|
Created | 23 years, 1 month ago (July 26, 2002, 9:12 a.m.) |
Deposited | 1 year, 6 months ago (Feb. 10, 2024, 6:22 a.m.) |
Indexed | 1 year, 6 months ago (Feb. 10, 2024, 10:03 a.m.) |
Issued | 35 years, 4 months ago (April 15, 1990) |
Published | 35 years, 4 months ago (April 15, 1990) |
Published Print | 35 years, 4 months ago (April 15, 1990) |
@article{Ruedenberg_1990, title={Nonspherical atomic ground-state densities and chemical deformation densities from x-ray scattering}, volume={92}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.457713}, DOI={10.1063/1.457713}, number={8}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Ruedenberg, Klaus and Schwarz, W. H. Eugen}, year={1990}, month=apr, pages={4956–4969} }