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Comparison of levels of theory for O-Be


Click on an entry for a histogram of the values.
The subscript refers to how many bonds of that type have been calculated.
average calculated bond lengths (Å)
Methods with predefined basis sets
semi-empirical AM1 1.6465
11
PM3 1.4377
10
PM6 1.4358
9
composite G2 1.4184
8
G3 1.4079
11
G3B3 1.4170
12
G3MP2 1.4029
1
G4 1.4047
13
CBS-Q 1.4121
11

average calculated bond lengths (Å)
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.3684
11
1.4144
12
1.4201
9
1.4299
7
1.4006
13
1.4067
10
1.4091
9
1.4029
10
1.4036
10
1.4012
10
1.3881
6
1.4060
11
1.4188
10
1.4013
10
1.3787
6
1.4195
8
1.4000
8
1.3794
6
1.4146
1
1.3873
7
ROHF 1.4195
1
1.4129
3
1.4129
3
1.4317
2
1.3959
3
1.4039
2
1.3904
3
1.3971
2
1.3975
2
1.4046
1
1.3902
1
1.4109
2
1.4040
3
1.3976
2
1.3935
2
1.4228
2
1.3969
2
1.3941
2
1.4154
1
1.3934
1
density functional LSDA 1.3879
12
1.4252
10
1.4253
10
1.4290
8
1.4086
10
1.4137
10
1.4138
10
1.4086
10
1.4092
10
1.4065
10
1.4125
4
1.4223
9
1.4251
10
1.4097
10
1.4147
1
1.4239
8
1.4114
7
1.4148
1
   
BLYP 1.4127
11
1.4409
11
1.4378
12
1.4320
11
1.4179
13
1.4293
8
1.4334
10
1.4266
10
1.4274
10
1.4240
10
1.4276
5
1.4391
8
1.4391
10
1.4276
10
  1.4463
6
1.4391
6
  1.4245
1
1.4092
1
B1B95 1.3874
12
1.4242
12
1.4242
12
1.4313
8
1.4142
12
1.4182
10
1.4207
8
1.4128
10
1.4175
9
1.4149
9
1.4142
5
1.4244
7
1.4360
6
1.4166
9
1.4150
1
1.4286
8
1.4245
6
1.4151
1
1.4148
1
 
B3LYP 1.3900
12
1.4265
12
1.4292
11
1.4320
8
1.4163
12
1.4190
10
1.4203
10
1.4122
8
1.4151
10
1.4109
8
1.4004
6
1.4197
11
1.4281
10
1.4154
10
1.3907
6
1.4306
8
1.4135
8
1.3917
6
1.4144
1
1.3979
1
B3LYPultrafine   1.4291
10
    1.4163
12
1.4294
8
1.4302
8
1.4258
6
  1.4119
3
1.4165
5
1.4378
7
1.4301
10
1.4155
10
  1.4306
8
1.4072
9
  1.4144
1
1.3979
1
B3PW91 1.3973
11
1.4354
7
1.4308
8
1.4340
8
1.4171
12
1.4199
10
1.4192
8
1.4136
8
1.4165
10
1.4125
8
1.4177
5
1.4250
10
1.4404
9
1.4264
9
  1.4350
6
1.4378
5
  1.4184
1
1.4004
1
mPW1PW91 1.3876
12
1.4286
8
1.4286
8
1.4320
8
1.4149
12
1.4175
10
1.4187
10
1.4132
10
1.4140
10
1.4115
10
1.4156
5
1.4223
8
1.4302
10
1.4135
10
  1.4297
8
1.4114
8
  1.4162
1
1.3981
1
M06-2X 1.3850
11
1.4236
9
1.4159
11
1.4325
7
1.4088
13
1.4151
10
1.4184
9
1.4107
10
1.4116
10
1.4103
10
1.4021
13
1.4217
7
1.4269
10
1.4107
10
  1.4266
8
1.4082
8
  1.4105
1
1.3898
1
PBEPBE 1.4117
11
1.4387
12
1.4387
12
1.4383
9
1.4245
10
1.4259
6
1.4324
10
1.4261
10
1.4246
8
1.4239
10
1.4122
6
1.4368
10
1.4403
10
1.4265
10
1.4292
1
1.4429
8
1.4249
8
1.4294
1
1.4266
1
1.4086
1
PBEPBEultrafine   1.4405
10
    1.4245
10
1.4417
4
1.4412
8
1.4355
8
  1.4250
5
1.4270
5
1.4441
8
1.4425
10
1.4265
10
  1.4429
8
1.4248
8
  1.4266
1
1.4086
1
PBE1PBE 1.3935
11
1.4289
8
1.4289
8
1.4367
7
1.4109
13
1.4190
10
1.4189
10
1.4133
10
1.4141
10
1.4117
10
1.4156
5
1.4250
7
1.4306
10
1.4137
10
  1.4299
8
1.4115
8
  1.4163
1
1.3978
1
HSEh1PBE 1.3938
11
1.4240
9
1.4289
8
1.4368
7
1.4110
13
1.4177
10
1.4142
11
1.4135
10
1.4142
10
1.4115
10
1.4155
5
1.4254
7
1.4303
10
1.4089
11
  1.4299
8
1.4117
8
  1.4159
1
1.3977
1
TPSSh 1.4146
8
1.4318
8
1.4318
8
1.4354
6
1.4091
11
1.4240
9
1.4135
9
1.4169
7
1.4421
5
1.4110
10
1.4226
5
1.4383
8
1.4347
9
1.4106
11
1.3989
1
1.4347
7
1.4174
7
1.4191
3
1.4242
1
1.4049
1
wB97X-D 1.3957
9
1.4441
6
1.4225
11
1.4413
6
1.4102
13
1.4384
7
1.4125
11
1.4355
7
1.4084
11
1.4357
5
1.4200
5
1.4148
11
1.4190
11
1.4040
9
1.4162
3
1.4564
5
1.4047
9
1.4169
3
1.4244
1
1.4058
1
B97D3 1.3947
6
1.4193
10
1.4318
6
1.4102
4
1.4112
11
1.4386
5
1.4177
9
1.4337
5
1.4060
9
1.4314
5
1.4174
11
1.4240
8
1.4488
5
1.4135
9
1.4285
3
1.4507
3
1.4089
7
1.4297
3
1.4352
1
1.4251
13
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.3850
12
1.4371
12
1.4371
12
1.4424
11
1.4174
13
1.4310
10
1.4342
10
1.4162
10
1.4274
10
1.4245
10
1.4250
5
1.4306
11
1.4447
10
1.4281
10
1.4035
6
1.4531
8
1.4285
8
1.4053
6
1.4387
1
1.4134
1
MP2=FULL 1.3850
12
1.4366
12
1.4400
11
1.4411
11
1.4222
12
1.4268
10
1.4283
10
1.4209
10
1.4248
10
1.4098
10
1.4168
5
1.4353
10
1.4454
10
1.4211
10
1.3960
6
1.4397
8
1.4122
8
1.3957
6
1.3946
1
1.3935
1
ROMP2 1.3702
5
1.4162
4
1.4162
4
1.4157
4
1.4235
5
1.4230
5
1.4258
5
1.4137
5
1.4190
5
1.4161
5
1.4221
3
1.4298
5
1.4404
5
1.4197
5
1.4228
1
1.4474
5
1.4286
1
1.4236
1
1.4397
1
1.4137
1
MP3         1.4176
12
  1.4127
11
      1.4158
5
1.4361
8
1.4483
8
1.4280
8
        1.4312
1
1.4034
1
MP3=FULL   1.4403
8
1.4403
8
1.4376
8
1.4057
13
1.4350
7
1.4098
11
1.4291
7
1.4338
7
1.4151
7
1.4075
5
1.4342
8
1.4462
8
1.4201
8
  1.4487
5
1.4397
4
    1.3826
1
MP4   1.4577
12
    1.4352
12
    1.4099
2
1.4354
10
  1.4260
5
1.4459
10
1.4652
10
1.4281
11
  1.4638
8
1.4344
8
  1.4413
1
1.4146
1
MP4=FULL   1.4573
12
    1.4300
12
      1.4328
10
  1.4176
5
  1.4630
10
1.4257
10
  1.4481
8
1.4195
8
    1.3937
1
B2PLYP 1.3928
9
1.4308
10
1.4308
10
1.4507
5
1.4158
13
1.4317
8
1.4336
8
1.4267
8
1.4288
8
1.4246
8
1.4187
5
1.4369
8
1.4441
8
1.4208
9
  1.4498
6
1.4313
6
  1.4227
1
1.4027
1
B2PLYP=FULL 1.3927
9
1.4307
10
1.4306
10
1.4505
5
1.4247
10
1.4304
8
1.4307
8
1.4260
8
1.4280
8
1.4202
8
1.4165
5
1.4362
8
1.4433
8
1.4272
8
  1.4457
6
1.4275
6
  1.4116
1
1.3973
1
B2PLYP=FULLultrafine 1.4021
8
1.4344
9
1.4344
9
1.4622
4
1.4147
13
1.4374
7
1.4442
6
1.4331
7
1.4353
7
1.4271
7
1.4163
5
1.4418
7
1.4270
13
1.4103
13
  1.4550
5
1.4102
13
  1.4116
1
1.3973
1
Configuration interaction CID   1.4305
11
1.4317
9
1.4309
11
1.4156
12
    1.4113
10
    1.4127
5
  1.4397
5
1.4186
5
        1.4303
1
1.4023
1
CISD   1.4302
12
1.4331
11
1.4335
11
1.4170
12
    1.4130
10
    1.4135
5
  1.4407
5
1.4195
5
        1.4315
1
1.4038
1
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.4392
12
1.4426
11
1.4448
11
1.4263
12
1.4306
10
1.4329
10
1.4233
10
1.4264
10
1.4216
10
1.4208
5
1.4360
10
1.4479
10
1.4236
10
  1.4512
8
1.4231
8
  1.4361
1
1.4090
1
QCISD(T)         1.4246
12
    1.4267
8
    1.4235
5
1.4358
10
1.4468
10
1.4258
10
  1.4512
8
1.4258
8
  1.4395
1
1.4122
1
QCISD(T)=FULL         1.4272
10
  1.4344
8
      1.4150
5
  1.4539
8
1.4277
8
1.4025
4
1.4482
6
1.4239
6
1.4014
4
1.3905
1
1.3910
1
QCISD(TQ)         1.4132
5
  1.4289
5
      1.4270
2
  1.4545
4
1.4155
3
1.3785
1
1.4429
3
1.3856
1
     
QCISD(TQ)=FULL         1.4078
5
  1.4170
3
          1.4519
2
1.4088
3
1.3711
1
1.3999
1
1.3749
1
     
Coupled Cluster CCD   1.4338
11
1.4338
11
1.4355
11
1.4201
12
1.4236
10
1.4262
10
1.4161
10
1.4192
10
1.4160
10
1.4182
5
1.4286
10
1.4397
10
1.4185
10
  1.4431
8
1.4175
8
  1.4331
1
1.4056
1
CCSD         1.4223
12
1.4296
5
1.4313
5
1.4056
6
1.4268
5
1.4279
8
1.4199
5
1.4313
10
1.4426
10
1.4206
10
1.3947
6
1.4459
8
1.4197
8
1.3804
4
1.4347
1
1.4077
1
CCSD=FULL         1.4180
12
        1.4113
8
1.4115
5
1.4296
10
1.4404
10
1.4135
10
1.3873
6
1.4318
8
1.4112
7
1.3704
4
1.3869
1
1.3871
1
CCSD(T)         1.4255
12
1.4336
8
1.4327
5
1.4272
8
1.4294
5
1.4231
5
1.4091
6
1.4362
10
1.4447
10
1.4254
10
1.4002
6
1.4519
8
1.4253
8
1.4017
6
1.4389
1
1.4116
1
CCSD(T)=FULL         1.4211
12
          1.4146
5
1.4344
10
1.4456
10
1.4183
10
1.3928
6
1.4375
8
1.4117
8
1.3918
6
  1.3905
1
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ

average calculated bond lengths (Å)
Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD cc-pVTZ-PP aug-cc-pVTZ-PP Def2TZVPP
hartree fock HF 1.4306
8
1.4142
12
1.4101
8
1.4045
12
1.4336
10
1.4311
8
    1.3976
11
ROHF                 1.3977
1
density functional LSDA                 1.4185
4
BLYP                 1.4328
5
B1B95 1.3843
2
1.3782
2
            1.4204
5
B3LYP 1.4434
8
1.4294
12
1.4256
8
1.4200
12
1.4460
8
1.4380
8
    1.4088
11
B3LYPultrafine                 1.4219
5
B3PW91                 1.4232
5
mPW1PW91                 1.4209
5
M06-2X                 1.4188
5
PBEPBE                 1.4183
11
PBEPBEultrafine                 1.4324
5
PBE1PBE                 1.4210
5
HSEh1PBE                 1.4209
5
TPSSh                 1.4276
5
wB97X-D 1.4515
5
1.4362
9
1.4498
4
1.4282
9
1.4724
4
1.4714
4
    1.4250
5
B97D3                 1.4372
5
Moller Plesset perturbation MP2 1.4605
8
1.4387
12
1.4316
12
1.4292
12
1.4559
12
1.4477
12
    1.4205
11
MP2=FULL                 1.4318
5
ROMP2                 1.4327
3
MP3                 1.4262
5
MP3=FULL                 1.4227
5
MP4                 1.4359
5
MP4=FULL                 1.4325
5
B2PLYP                 1.4257
5
B2PLYP=FULL                 1.4247
5
B2PLYP=FULLultrafine                 1.4247
5
Configuration interaction CID                 1.4222
5
CISD                 1.4230
5
Quadratic configuration interaction QCISD                 1.4306
5
QCISD(T)                 1.4336
5
QCISD(T)=FULL                 1.4302
5
QCISD(TQ)                 1.4378
2
QCISD(TQ)=FULL                 1.4330
2
Coupled Cluster CCD                 1.4284
5
CCSD                 1.4296
5
CCSD=FULL                 1.4268
5
CCSD(T)                 1.4332
5
CCSD(T)=FULL                 1.4298
5
For descriptions of the methods (AM1, HF, MP2, ...) and basis sets (3-21G, 3-21G*, 6-31G, ...) see the glossary in section I.C. Predefined means the basis set used is determined by the method.