Knowledge (XXG)

Post–Hartree–Fock

Source 📝

171:
Methods that use more than one determinant are not strictly post–Hartree–Fock methods, as they use a single determinant as reference, but they often use similar perturbation, or configuration interaction methods to improve the description of electron correlation. These methods include:
328:
David Maurice & Martin Head-Gordon (May 10, 1999). "Analytical second derivatives for excited electronic states using the single excitation configuration interaction method: theory and application to benzopyrene and chalcone".
112:
For the great majority of systems under study, in particular for excited states and processes such as molecular dissociation reactions, the fourth item is by far the most important. As a result, the term
685:
Larry A. Curtiss; Krishnan Raghavachari; Paul C. Redfern; Vitaly Rassolov & John A. Pople (July 22, 1998). "Gaussian-3 (G3) theory for molecules containing first and second-row atoms".
609:
John A. Pople; Martin Head‐Gordon & Krishnan Raghavachari (1987). "Quadratic configuration interaction. A general technique for determining electron correlation energies".
120:
Usually, post–Hartree–Fock methods give more accurate results than Hartree–Fock calculations, although the added accuracy comes with the price of added computational cost.
438:
Krishnan Raghavachari; Gary W. Trucks; John A. Pople & Martin Head-Gordon (March 24, 1989). "A fifth-order perturbation comparison of electron correlation theories".
188: 176: 141: 147: 720:
William S. Ohlinger; Philip E. Klunzinger; Bernard J. Deppmeier & Warren J. Hehre (January 2009). "Efficient Calculation of Heats of Formation".
182: 582:
Krishnan Raghavachari & John A. Pople (February 22, 1978). "Approximate fourth-order perturbation theory of the electron correlation energy".
403:
George D. Purvis & Rodney J. Bartlett (1982). "A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples".
159: 153: 60: 304: 280: 247: 219: 799: 775: 366:"A doubles correction to electronic excited states from configuration interaction in the space of single substitutions" 794: 508:
H. D. Meyer; U. Manthe & L. S. Cederbaum (1990). "The multi-configurational time-dependent Hartree approach".
129: 63:
is inherently assumed. The true wavefunction should also be a function of the coordinates of each of the nuclei.
40: 32: 52: 20: 36: 97: 78: 729: 694: 657: 618: 556: 517: 482: 447: 412: 377: 338: 101: 473:
Troy Van Voorhis & Martin Head-Gordon (June 19, 2001). "Two-body coupled cluster expansions".
644:
Larry A. Curtiss; Krishnan Raghavachari; Gary W. Trucks & John A. Pople (February 15, 1991).
86: 67: 771: 745: 310: 300: 276: 243: 215: 71: 737: 702: 665: 626: 591: 564: 525: 490: 455: 420: 385: 346: 268: 51:
In general, the SCF procedure makes several assumptions about the nature of the multi-body
135: 733: 698: 661: 622: 560: 521: 486: 451: 416: 381: 342: 90: 39:
which is a more accurate way of including the repulsions between electrons than in the
459: 788: 529: 389: 117:
is typically used for methods of approximating the electron correlation of a system.
297:
Rate Constant Calculation for Thermal Reactions : Methods and Applications
364:
Martin Head-Gordon; Rudolph J. Rico; Manabu Oumi & Timothy J. Lee (1994).
350: 272: 82: 646:"Gaussian‐2 theory for molecular energies of first‐ and second‐row compounds" 544: 314: 749: 568: 595: 100:
are assumed to be products of one-electron wavefunctions. The effects of
105: 741: 494: 706: 670: 645: 630: 424: 365: 545:"Note on an Approximation Treatment form Many-Electron Systems" 31:) methods are the set of methods developed to improve on the 183:
Multireference single and double configuration interaction
267:, John Wiley & Sons, Ltd, 2009, pp. 133–139, 35:(HF), or self-consistent field (SCF) method. They add 693:(18). The American Institute of Physics: 7764–7776. 656:(11). The American Institute of Physics: 7221–7231. 481:(11). The American Institute of Physics: 5033–5041. 104:, beyond that of exchange energy resulting from the 411:(4). The American Institute of Physics: 1910–1919. 617:(10). American Institute of Physics: 5968–35975. 543:Chr. Møller & M. S. Plesset (October 1934). 108:of the wavefunction, are completely neglected. 555:(7). The American Physical Society: 618–622. 8: 189:N-electron valence state perturbation theory 74:is assumed to be completely nonrelativistic. 177:Multi-configurational self-consistent field 584:International Journal of Quantum Chemistry 142:Multi-configuration time-dependent Hartree 669: 16:Set of methods in computational chemistry 768:Introduction to Computational Chemistry 337:(10). Taylor & Francis: 1533–1541. 238:Introduction to Computational Chemistry 200: 265:Methods of Molecular Quantum Mechanics 85:functions. The true wavefunction is a 70:effects are completely neglected. The 211:Essentials of Computational Chemistry 7: 43:where repulsions are only averaged. 770:. New York: John Wiley & Sons. 728:(10). ACS Publications: 2165–2175. 722:The Journal of Physical Chemistry A 160:Quantum chemistry composite methods 154:Quadratic configuration interaction 148:Møller–Plesset perturbation theory 81:is composed of a finite number of 14: 590:(1). Wiley InterScience: 91–100. 446:(6). Elsevier Science: 479–483. 687:The Journal of Chemical Physics 650:The Journal of Chemical Physics 611:The Journal of Chemical Physics 475:The Journal of Chemical Physics 405:The Journal of Chemical Physics 208:Cramer, Christopher J. (2002). 61:Born–Oppenheimer approximation 1: 460:10.1016/S0009-2614(89)87395-6 263:"Post-Hartree–Fock Methods", 530:10.1016/0009-2614(90)87014-I 390:10.1016/0009-2614(94)00070-0 816: 55:and its set of solutions: 351:10.1080/00268979909483096 299:. John Wiley & Sons. 295:DaCosta, Herbert (2011). 273:10.1002/9780470684559.ch8 242:. John Wiley & Sons. 214:. John Wiley & Sons. 130:Configuration interaction 124:Post–Hartree–Fock methods 440:Chemical Physics Letters 376:(1–2). Elsevier: 21–29. 370:Chemical Physics Letters 115:post–Hartree–Fock method 800:Computational chemistry 162:(G2, G3, CBS, T1. etc.) 21:computational chemistry 569:10.1103/PhysRev.46.618 235:Jensen, Frank (1999). 596:10.1002/qua.560140109 150:(MP2, MP3, MP4, etc.) 98:energy eigenfunctions 93:(infinite) basis set. 102:electron correlation 89:of functions from a 53:Schrödinger equation 37:electron correlation 766:Jensen, F. (1999). 734:2009JPCA..113.2165O 699:1998JChPh.109.7764C 662:1991JChPh..94.7221C 623:1987JChPh..87.5968P 561:1934PhRv...46..618M 522:1990CPL...165...73M 487:2001JChPh.115.5033V 452:1989CPL...157..479R 417:1982JChPh..76.1910P 382:1994CPL...219...21H 343:1999MolPh..96.1533M 106:anti-symmetrization 59:For molecules, the 41:Hartree–Fock method 87:linear combination 795:Quantum chemistry 742:10.1021/jp810144q 495:10.1063/1.1390516 331:Molecular Physics 72:momentum operator 25:post–Hartree–Fock 807: 781: 754: 753: 717: 711: 710: 707:10.1063/1.477422 682: 676: 675: 673: 671:10.1063/1.460205 641: 635: 634: 631:10.1063/1.453520 606: 600: 599: 579: 573: 572: 540: 534: 533: 510:Chem. Phys. Lett 505: 499: 498: 470: 464: 463: 435: 429: 428: 425:10.1063/1.443164 400: 394: 393: 361: 355: 354: 325: 319: 318: 292: 286: 285: 260: 254: 253: 232: 226: 225: 205: 815: 814: 810: 809: 808: 806: 805: 804: 785: 784: 778: 765: 762: 760:Further reading 757: 719: 718: 714: 684: 683: 679: 643: 642: 638: 608: 607: 603: 581: 580: 576: 549:Physical Review 542: 541: 537: 507: 506: 502: 472: 471: 467: 437: 436: 432: 402: 401: 397: 363: 362: 358: 327: 326: 322: 307: 294: 293: 289: 283: 262: 261: 257: 250: 234: 233: 229: 222: 207: 206: 202: 198: 169: 167:Related methods 136:Coupled cluster 126: 49: 17: 12: 11: 5: 813: 811: 803: 802: 797: 787: 786: 783: 782: 776: 761: 758: 756: 755: 712: 677: 636: 601: 574: 535: 500: 465: 430: 395: 356: 320: 305: 287: 281: 255: 248: 227: 220: 199: 197: 194: 193: 192: 186: 180: 168: 165: 164: 163: 157: 151: 145: 139: 133: 125: 122: 110: 109: 94: 75: 64: 48: 45: 15: 13: 10: 9: 6: 4: 3: 2: 812: 801: 798: 796: 793: 792: 790: 779: 773: 769: 764: 763: 759: 751: 747: 743: 739: 735: 731: 727: 723: 716: 713: 708: 704: 700: 696: 692: 688: 681: 678: 672: 667: 663: 659: 655: 651: 647: 640: 637: 632: 628: 624: 620: 616: 612: 605: 602: 597: 593: 589: 585: 578: 575: 570: 566: 562: 558: 554: 550: 546: 539: 536: 531: 527: 523: 519: 516:(73): 73–78. 515: 511: 504: 501: 496: 492: 488: 484: 480: 476: 469: 466: 461: 457: 453: 449: 445: 441: 434: 431: 426: 422: 418: 414: 410: 406: 399: 396: 391: 387: 383: 379: 375: 371: 367: 360: 357: 352: 348: 344: 340: 336: 332: 324: 321: 316: 312: 308: 306:9781118166123 302: 298: 291: 288: 284: 282:9780470684559 278: 274: 270: 266: 259: 256: 251: 249:0-470-01187-4 245: 241: 237: 231: 228: 223: 221:0-470-09182-7 217: 213: 210: 204: 201: 195: 190: 187: 184: 181: 178: 175: 174: 173: 166: 161: 158: 155: 152: 149: 146: 143: 140: 137: 134: 131: 128: 127: 123: 121: 118: 116: 107: 103: 99: 95: 92: 88: 84: 80: 76: 73: 69: 65: 62: 58: 57: 56: 54: 46: 44: 42: 38: 34: 30: 26: 22: 767: 725: 721: 715: 690: 686: 680: 653: 649: 639: 614: 610: 604: 587: 583: 577: 552: 548: 538: 513: 509: 503: 478: 474: 468: 443: 439: 433: 408: 404: 398: 373: 369: 359: 334: 330: 323: 296: 290: 264: 258: 239: 236: 230: 212: 209: 203: 170: 119: 114: 111: 68:relativistic 50: 33:Hartree–Fock 28: 24: 18: 240:2nd edition 66:Typically, 789:Categories 777:0471980854 196:References 83:orthogonal 315:769342424 79:basis set 750:19222177 191:(NEVPT). 185:(MRCISD) 144:(MCTDH,) 91:complete 730:Bibcode 695:Bibcode 658:Bibcode 619:Bibcode 557:Bibcode 518:Bibcode 483:Bibcode 448:Bibcode 413:Bibcode 378:Bibcode 339:Bibcode 179:(MCSCF) 47:Details 29:post-HF 774:  748:  313:  303:  279:  246:  218:  156:(QCI) 772:ISBN 746:PMID 311:OCLC 301:ISBN 277:ISBN 244:ISBN 216:ISBN 138:(CC) 132:(CI) 96:The 77:The 738:doi 726:113 703:doi 691:109 666:doi 627:doi 592:doi 565:doi 526:doi 514:165 491:doi 479:115 456:doi 444:157 421:doi 386:doi 374:219 347:doi 269:doi 19:In 791:: 744:. 736:. 724:. 701:. 689:. 664:. 654:94 652:. 648:. 625:. 615:87 613:. 588:14 586:. 563:. 553:46 551:. 547:. 524:. 512:. 489:. 477:. 454:. 442:. 419:. 409:76 407:. 384:. 372:. 368:. 345:. 335:96 333:. 309:. 275:, 23:, 780:. 752:. 740:: 732:: 709:. 705:: 697:: 674:. 668:: 660:: 633:. 629:: 621:: 598:. 594:: 571:. 567:: 559:: 532:. 528:: 520:: 497:. 493:: 485:: 462:. 458:: 450:: 427:. 423:: 415:: 392:. 388:: 380:: 353:. 349:: 341:: 317:. 271:: 252:. 224:. 27:(

Index

computational chemistry
Hartree–Fock
electron correlation
Hartree–Fock method
Schrödinger equation
Born–Oppenheimer approximation
relativistic
momentum operator
basis set
orthogonal
linear combination
complete
energy eigenfunctions
electron correlation
anti-symmetrization
Configuration interaction
Coupled cluster
Multi-configuration time-dependent Hartree
Møller–Plesset perturbation theory
Quadratic configuration interaction
Quantum chemistry composite methods
Multi-configurational self-consistent field
Multireference single and double configuration interaction
N-electron valence state perturbation theory
ISBN
0-470-09182-7
ISBN
0-470-01187-4
doi
10.1002/9780470684559.ch8

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.