Abstract
It is shown that the stochastic–Liouville model of CIDEP can be cast into the form of a ’’Bloch-type’’ equation with diffusion. This leads to a generalized vector model of the radical pair mechanism of chemically induced magnetic polarization, which gives a clear picture of the qualitative features of both CIDNP and CIDEP. For the case of simple Brownian motion of the two radicals the differential form of the stochastic–Liouville equations of CIDEP is readily converted into a single integral equation. In the limit of slow singlet–triplet mixing by the magnetic spin Hamiltonian, and with an exchange interaction that decays exponentially with radical separation, this integral equation may be solved exactly. The electron polarization then takes the form of a superposition of an infinite number of ’’contact exchange modes’’.
References
31
Referenced
92
{'key': '2024020916341482200_r1', 'first-page': '19', 'volume': '4', 'year': '1971', 'journal-title': 'Proc. 23rd Int. Congr. Pure Appl. Chem. Spec. Lect.'}
/ Proc. 23rd Int. Congr. Pure Appl. Chem. Spec. Lect. (1971)10.1021/ar50049a004
/ Acc. Chem. Res. (1972){'key': '2024020916341482200_r1b'}
{'key': '2024020916341482200_r1c'}
{'key': '2024020916341482200_r1d'}
{'key': '2024020916341482200_r1e'}
10.1021/ja01044a043
/ J. Am. Chem. Soc. (1969)10.1021/ja00710a092
/ J. Am. Chem. Soc. (1970)10.1016/0009-2614(69)80098-9
/ Chem. Phys. Lett. (1969){'key': '2024020916341482200_r3a'}
10.1063/1.1679576
/ J. Chem. Phys. (1973)10.1063/1.1680418
/ J. Chem. Phys. (1973)10.1063/1.1679472
/ J. Chem. Phys. (1973)10.1002/9780470143612.ch3
/ Adv. Chem. Phys. (1969)10.1063/1.1674491
/ J. Chem. Phys. (1970)10.1063/1.1675446
/ J. Chem. Phys. (1971)10.1063/1.1675447
/ J. Chem. Phys. (1971){'key': '2024020916341482200_r9', 'first-page': '129', 'volume': '1', 'year': '1961', 'journal-title': 'Progr. React. Kin.'}
/ Progr. React. Kin. (1961)10.1063/1.1740394
/ J. Chem. Phys. (1954)10.1063/1.1678196
/ J. Chem. Phys. (1972)10.1103/RevModPhys.15.1
/ Rev. Mod. Phys. (1943)10.1063/1.1742482
/ J. Chem. Phys. (1956)10.1063/1.430677
/ J. Chem. Phys. (1975)10.1063/1.1722572
/ J. Appl. Phys. (1957)10.1103/PhysRev.70.460
/ Phys. Rev. (1946)10.1021/ja00773a001
/ J. Am. Chem. Soc. (1972){'key': '2024020916341482200_r16'}
{'key': '2024020916341482200_r17'}
{'key': '2024020916341482200_r18'}
{'key': '2024020916341482200_r19'}
{'key': '2024020916341482200_r20', 'first-page': '107', 'volume': '21', 'year': '1920', 'journal-title': 'Trans. Am. Math. Soc.'}
/ Trans. Am. Math. Soc. (1920)
Dates
Type | When |
---|---|
Created | 22 years, 6 months ago (Feb. 27, 2003, 5:38 p.m.) |
Deposited | 1 year, 6 months ago (Feb. 9, 2024, 1:18 p.m.) |
Indexed | 1 year, 6 months ago (Feb. 10, 2024, 11:04 a.m.) |
Issued | 47 years, 3 months ago (May 15, 1978) |
Published | 47 years, 3 months ago (May 15, 1978) |
Published Print | 47 years, 3 months ago (May 15, 1978) |
@article{Monchick_1978, title={On the theory of chemically induced electron polarization (CIDEP): Vector model and an asymptotic solution}, volume={68}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.435507}, DOI={10.1063/1.435507}, number={10}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Monchick, L. and Adrian, F. J.}, year={1978}, month=may, pages={4376–4383} }