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

using model chemistry: B3LYP/CEP-121G*

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/CEP-121G*
Rotational Constants (cm-1) from geometry optimized at B3LYP/CEP-121G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/CEP-121G*
 hartrees
Energy at 0K-41.116040
Energy at 298.15K-41.129288
HF Energy-41.116040
Nuclear repulsion energy138.448870
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/CEP-121G*
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' 3075 2981 191.43      
2 A' 3065 2972 28.24      
3 A' 3060 2966 38.11      
4 A' 3031 2938 16.68      
5 A' 3016 2924 10.71      
6 A' 3013 2921 15.44      
7 A' 2998 2907 47.63      
8 A' 2996 2905 33.95      
9 A' 1512 1465 8.63      
10 A' 1507 1461 0.92      
11 A' 1503 1457 3.37      
12 A' 1418 1374 6.32      
13 A' 1415 1372 0.61      
14 A' 1373 1331 0.92      
15 A' 1355 1314 12.73      
16 A' 1272 1233 1.54      
17 A' 1243 1205 0.36      
18 A' 1188 1152 0.41      
19 A' 1111 1077 0.44      
20 A' 1031 999 0.78      
21 A' 952 923 0.75      
22 A' 931 902 0.43      
23 A' 856 829 0.65      
24 A' 785 761 0.91      
25 A' 640 621 1.31      
26 A' 424 411 0.04      
27 A' 314 304 0.09      
28 A' 81 79 0.01      
29 A" 3067 2973 53.17      
30 A" 3063 2970 27.76      
31 A" 3062 2968 34.30      
32 A" 3012 2920 108.61      
33 A" 1508 1462 4.13      
34 A" 1506 1460 0.01      
35 A" 1483 1437 2.87      
36 A" 1287 1248 0.80      
37 A" 1263 1224 0.02      
38 A" 1225 1188 0.08      
39 A" 1139 1104 0.48      
40 A" 1120 1085 0.00      
41 A" 989 959 2.67      
42 A" 896 869 0.01      
43 A" 887 860 0.43      
44 A" 800 775 0.09      
45 A" 371 359 0.00      
46 A" 254 247 0.06      
47 A" 249 241 0.00      
48 A" 230 223 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 36287.0 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 35176.6 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/CEP-121G*
ABC
0.25794 0.07526 0.06833

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.249 0.079 1.093
C2 0.249 0.079 -1.093
C3 -0.663 0.735 0.000
C4 0.847 -0.875 0.000
C5 -0.836 2.261 0.000
C6 0.249 -2.294 0.000
H7 0.996 0.789 1.475
H8 -0.247 -0.392 1.953
H9 0.996 0.789 -1.475
H10 -0.247 -0.392 -1.953
H11 -1.654 0.258 0.000
H12 1.944 -0.946 0.000
H13 0.139 2.768 0.000
H14 -0.850 -2.270 0.000
H15 -1.389 2.602 -0.887
H16 -1.389 2.602 0.887
H17 0.567 -2.858 -0.888
H18 0.567 -2.858 0.888

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.18651.56771.56982.67042.61291.09891.09882.76743.12202.20142.26252.90482.81453.60093.01453.55742.9618
C22.18651.56771.56982.67042.61292.76743.12201.09891.09882.20142.26252.90482.81453.01453.60092.96183.5574
C31.56771.56772.20811.53523.16362.22092.29292.22092.29291.09933.10222.18563.01102.19022.19023.90083.9008
C41.56981.56982.20813.55931.53962.22882.29022.22882.29022.74551.09883.71172.19674.22804.22802.19062.1906
C52.67042.67041.53523.55934.68212.77493.34642.77493.34642.16314.24401.09944.53071.09941.09945.38165.3816
C62.61292.61293.16361.53964.68213.49822.77063.49822.77063.18302.16545.06341.09925.23805.23801.09911.0991
H71.09892.76742.22092.22882.77493.49821.78032.95043.83303.07872.46662.61323.86523.81513.05294.36683.7188
H81.09883.12202.29292.29023.34642.77061.78033.83303.90552.49262.98683.73512.77534.28153.37663.84892.8069
H92.76741.09892.22092.22882.77493.49822.95043.83301.78033.07872.46662.61323.86523.05293.81513.71884.3668
H103.12201.09882.29292.29023.34642.77063.83303.90551.78032.49262.98683.73512.77533.37664.28152.80693.8489
H112.20142.20141.09932.74552.16313.18303.07872.49263.07872.49263.79343.08462.65252.52002.52003.92823.9282
H122.26252.26253.10221.09884.24402.16542.46662.98682.46662.98683.79344.12953.09154.94774.94772.51782.5178
H132.90482.90482.18563.71171.09945.06342.61323.73512.61323.73513.08464.12955.13441.77461.77465.71225.7122
H142.81452.81453.01102.19674.53071.09923.86522.77533.86522.77532.65253.09155.13444.98104.98101.77281.7728
H153.60093.01452.19024.22801.09945.23803.81514.28153.05293.37662.52004.94771.77464.98101.77445.79976.0653
H163.01453.60092.19024.22801.09945.23803.05293.37663.81514.28152.52004.94771.77464.98101.77446.06535.7997
H173.55742.96183.90082.19065.38161.09914.36683.84893.71882.80693.92822.51785.71221.77285.79976.06531.7757
H182.96183.55743.90082.19065.38161.09913.71882.80694.36683.84893.92822.51785.71221.77286.06535.79971.7757

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 88.432 C1 C3 C5 118.773
C1 C3 H11 110.025 C1 C4 C2 88.278
C1 C4 C6 114.344 C1 C4 H12 114.803
C2 C3 C5 118.773 C2 C3 H11 110.025
C2 C4 C6 114.344 C2 C4 H12 114.803
C3 C1 C4 89.460 C3 C1 H7 111.582
C3 C1 H8 117.531 C3 C2 C4 89.460
C3 C2 H9 111.582 C3 C2 H10 117.531
C3 C5 H13 111.024 C3 C5 H15 111.392
C3 C5 H16 111.392 C4 C1 H7 112.055
C4 C1 H8 117.126 C4 C2 H9 112.055
C4 C2 H10 117.126 C4 C6 H14 111.615
C4 C6 H17 111.134 C4 C6 H18 111.134
C5 C3 H11 109.269 C6 C4 H12 109.173
H7 C1 H8 108.199 H9 C2 H10 108.199
H13 C5 H15 107.623 H13 C5 H16 107.623
H14 C6 H17 107.501 H14 C6 H18 107.501
H15 C5 H16 107.597 H17 C6 H18 107.764
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.475      
2 C -0.475      
3 C 0.131      
4 C 0.155      
5 C -0.623      
6 C -0.628      
7 H 0.153      
8 H 0.158      
9 H 0.153      
10 H 0.158      
11 H 0.161      
12 H 0.164      
13 H 0.158      
14 H 0.160      
15 H 0.161      
16 H 0.161      
17 H 0.163      
18 H 0.163      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.011 -0.015 0.000 0.018
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.756 0.342 0.000
y 0.342 -41.213 0.000
z 0.000 0.000 -40.763
Traceless
 xyz
x 1.232 0.342 0.000
y 0.342 -0.953 0.000
z 0.000 0.000 -0.279
Polar
3z2-r2-0.558
x2-y21.457
xy0.342
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.562 -0.674 0.000
y -0.674 11.554 0.000
z 0.000 0.000 10.081


<r2> (average value of r2) Å2
<r2> 163.915
(<r2>)1/2 12.803