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All results from a given calculation for C6H12 ((1r,3r)-1,3-dimethylcyclobutane)

using model chemistry: B3LYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Vibrational Frequencies calculated at B3LYP/3-21G
Rotational Constants (cm-1) from geometry optimized at B3LYP/3-21G
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-234.568856
Energy at 298.15K-234.582262
HF Energy-234.568856
Nuclear repulsion energy247.679478
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3135 3025 68.69      
2 A' 3108 2999 44.73      
3 A' 3102 2993 31.82      
4 A' 3088 2979 4.45      
5 A' 3076 2968 3.61      
6 A' 3071 2963 2.13      
7 A' 3037 2931 25.00      
8 A' 3035 2929 25.60      
9 A' 1566 1511 10.68      
10 A' 1563 1508 4.31      
11 A' 1538 1484 0.61      
12 A' 1463 1411 10.42      
13 A' 1459 1408 1.24      
14 A' 1393 1344 0.12      
15 A' 1372 1324 6.76      
16 A' 1296 1251 5.43      
17 A' 1266 1221 2.33      
18 A' 1213 1171 1.07      
19 A' 1111 1072 0.18      
20 A' 1048 1011 1.16      
21 A' 992 958 2.09      
22 A' 951 917 1.94      
23 A' 866 836 1.65      
24 A' 792 764 1.45      
25 A' 663 639 1.52      
26 A' 429 414 0.31      
27 A' 320 309 0.09      
28 A' 86 83 0.02      
29 A" 3129 3019 9.07      
30 A" 3098 2989 30.14      
31 A" 3096 2987 25.88      
32 A" 3069 2961 48.65      
33 A" 1564 1509 3.09      
34 A" 1562 1507 2.05      
35 A" 1522 1468 5.53      
36 A" 1303 1257 0.28      
37 A" 1295 1250 0.07      
38 A" 1240 1196 0.27      
39 A" 1166 1125 1.29      
40 A" 1148 1108 0.25      
41 A" 1033 997 6.42      
42 A" 890 859 0.02      
43 A" 880 849 0.08      
44 A" 815 787 0.21      
45 A" 387 374 0.02      
46 A" 269 260 0.33      
47 A" 256 247 0.06      
48 A" 233 225 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 36997.0 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 35698.4 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYP/3-21G
ABC
0.25514 0.07639 0.06931

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.246 0.077 1.099
C2 0.246 0.077 -1.099
C3 -0.671 0.728 0.000
C4 0.857 -0.871 0.000
C5 -0.829 2.248 0.000
C6 0.246 -2.276 0.000
H7 0.986 0.793 1.472
H8 -0.251 -0.403 1.947
H9 0.986 0.793 -1.472
H10 -0.251 -0.403 -1.947
H11 -1.656 0.246 0.000
H12 1.949 -0.936 0.000
H13 0.154 2.736 0.000
H14 -0.850 -2.226 0.000
H15 -1.378 2.586 -0.888
H16 -1.378 2.586 0.888
H17 0.560 -2.837 -0.889
H18 0.560 -2.837 0.889

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.19751.57231.57422.66022.59671.09571.09432.76973.12362.20272.26592.87822.77683.58892.99623.54112.9382
C22.19751.57231.57422.66022.59672.76973.12361.09571.09432.20272.26592.87822.77682.99623.58892.93823.5411
C31.57231.57232.21131.52833.14082.21762.29112.21762.29111.09603.10392.17052.95922.17732.17733.87503.8750
C41.57421.57422.21133.54511.53232.22552.28862.22552.28862.74951.09463.67392.17944.21084.21082.17812.1781
C52.66022.66021.52833.54514.65002.75283.34022.75283.34022.16584.22551.09734.47401.09731.09735.34595.3459
C62.59672.59673.14081.53234.65003.48362.74713.48362.74713.15892.16765.01231.09725.20245.20241.09711.0971
H71.09572.76972.21762.22552.75283.48361.78532.94453.82833.07332.46662.57523.82803.79113.02374.35143.7013
H81.09433.12362.29112.28863.34022.74711.78533.82833.89502.48762.98613.71602.73374.27173.36593.82432.7751
H92.76971.09572.21762.22552.75283.48362.94453.82831.78533.07332.46662.57523.82803.02373.79113.70134.3514
H103.12361.09432.29112.28863.34022.74713.82833.89501.78532.48762.98613.71602.73373.36594.27172.77513.8243
H112.20272.20271.09602.74952.16583.15893.07332.48763.07332.48763.79393.07762.60012.51812.51813.89973.8997
H122.26592.26593.10391.09464.22552.16762.46662.98612.46662.98613.79394.08643.08254.92554.92552.51692.5169
H132.87822.87822.17053.67391.09735.01232.57523.71602.57523.71603.07764.08645.06191.77701.77705.65755.6575
H142.77682.77682.95922.17944.47401.09723.82802.73373.82802.73372.60013.08255.06194.92164.92161.77571.7757
H153.58892.99622.17734.21081.09735.20243.79114.27173.02373.36592.51814.92551.77704.92161.77625.75906.0269
H162.99623.58892.17734.21081.09735.20243.02373.36593.79114.27172.51814.92551.77704.92161.77626.02695.7590
H173.54112.93823.87502.17815.34591.09714.35143.82433.70132.77513.89972.51695.65751.77575.75906.02691.7777
H182.93823.54113.87502.17815.34591.09713.70132.77514.35143.82433.89972.51695.65751.77576.02695.75901.7777

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.665 C1 C3 C5 118.174
C1 C3 H11 109.992 C1 C4 C2 88.530
C1 C4 C6 113.410 C1 C4 H12 115.027
C2 C3 C5 118.174 C2 C3 H11 109.992
C2 C4 C6 113.410 C2 C4 H12 115.027
C3 C1 C4 89.302 C3 C1 H7 111.185
C3 C1 H8 117.323 C3 C2 C4 89.302
C3 C2 H9 111.185 C3 C2 H10 117.323
C3 C5 H13 110.441 C3 C5 H15 110.981
C3 C5 H16 110.981 C4 C1 H7 111.673
C4 C1 H8 116.960 C4 C2 H9 111.673
C4 C2 H10 116.960 C4 C6 H14 110.868
C4 C6 H17 110.776 C4 C6 H18 110.776
C5 C3 H11 110.141 C6 C4 H12 110.092
H7 C1 H8 109.214 H9 C2 H10 109.214
H13 C5 H15 108.134 H13 C5 H16 108.134
H14 C6 H17 108.041 H14 C6 H18 108.041
H15 C5 H16 108.061 H17 C6 H18 108.228
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.331      
2 C -0.331      
3 C -0.220      
4 C -0.244      
5 C -0.546      
6 C -0.530      
7 H 0.187      
8 H 0.178      
9 H 0.187      
10 H 0.178      
11 H 0.188      
12 H 0.178      
13 H 0.181      
14 H 0.184      
15 H 0.186      
16 H 0.186      
17 H 0.185      
18 H 0.185      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.030 0.016 0.000 0.035
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.491 0.351 0.000
y 0.351 -40.213 0.000
z 0.000 0.000 -40.165
Traceless
 xyz
x 0.697 0.351 0.000
y 0.351 -0.385 0.000
z 0.000 0.000 -0.312
Polar
3z2-r2-0.625
x2-y20.722
xy0.351
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.007 -0.540 0.000
y -0.540 9.576 0.000
z 0.000 0.000 8.347


<r2> (average value of r2) Å2
<r2> 193.658
(<r2>)1/2 13.916