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

using model chemistry: B3LYP/6-31G**

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/6-31G**
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/6-31G**
 hartrees
Energy at 0K-235.862411
Energy at 298.15K-235.875769
HF Energy-235.862411
Nuclear repulsion energy248.673219
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/6-31G**
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' 3106 2984 125.00      
2 A' 3100 2978 16.13      
3 A' 3095 2974 26.84      
4 A' 3060 2940 17.10      
5 A' 3047 2928 8.47      
6 A' 3043 2924 15.19      
7 A' 3030 2911 34.75      
8 A' 3029 2910 23.85      
9 A' 1516 1457 7.36      
10 A' 1511 1452 0.73      
11 A' 1507 1448 2.17      
12 A' 1427 1371 3.57      
13 A' 1424 1368 0.87      
14 A' 1388 1334 0.68      
15 A' 1370 1316 12.65      
16 A' 1287 1237 1.03      
17 A' 1257 1208 0.30      
18 A' 1204 1157 0.29      
19 A' 1130 1086 0.41      
20 A' 1050 1008 0.94      
21 A' 966 929 1.02      
22 A' 946 908 0.74      
23 A' 868 834 0.95      
24 A' 800 768 0.69      
25 A' 647 621 1.57      
26 A' 430 413 0.12      
27 A' 324 311 0.09      
28 A' 90 86 0.01      
29 A" 3102 2980 38.65      
30 A" 3099 2977 26.92      
31 A" 3097 2975 10.48      
32 A" 3045 2925 72.33      
33 A" 1513 1454 2.75      
34 A" 1511 1452 0.10      
35 A" 1487 1429 1.74      
36 A" 1302 1251 1.26      
37 A" 1280 1230 0.02      
38 A" 1239 1190 0.14      
39 A" 1149 1104 0.58      
40 A" 1135 1090 0.00      
41 A" 1002 963 2.86      
42 A" 908 872 0.00      
43 A" 903 867 0.02      
44 A" 812 780 0.25      
45 A" 377 362 0.01      
46 A" 260 249 0.11      
47 A" 255 245 0.00      
48 A" 238 229 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 36680.9 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 35243.0 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/6-31G**
ABC
0.26027 0.07631 0.06942

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.248 0.080 1.085
C2 0.248 0.080 -1.085
C3 -0.658 0.729 0.000
C4 0.841 -0.868 0.000
C5 -0.834 2.243 0.000
C6 0.248 -2.277 0.000
H7 0.993 0.789 1.464
H8 -0.246 -0.390 1.943
H9 0.993 0.789 -1.464
H10 -0.246 -0.390 -1.943
H11 -1.644 0.250 0.000
H12 1.935 -0.939 0.000
H13 0.139 2.749 0.000
H14 -0.848 -2.251 0.000
H15 -1.386 2.580 -0.885
H16 -1.386 2.580 0.885
H17 0.566 -2.839 -0.886
H18 0.566 -2.839 0.886

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17081.55591.55842.65102.59521.09581.09562.74903.10432.18852.24942.88352.79473.57852.99383.53662.9430
C22.17081.55591.55842.65102.59522.74903.10431.09581.09562.18852.24942.88352.79472.99383.57852.94303.5366
C31.55591.55592.19061.52413.14002.20782.27982.20782.27981.09643.08282.17162.98552.17742.17743.87473.8747
C41.55841.55842.19063.53341.52872.21632.27722.21632.27722.72561.09583.68492.18234.19954.19952.17822.1782
C52.65102.65101.52413.53344.64802.75623.32462.75623.32462.15144.21761.09634.49351.09621.09625.34515.3451
C62.59522.59523.14001.52874.64803.47842.75353.47842.75353.15762.15305.02761.09625.20125.20121.09601.0960
H71.09582.74902.20782.21632.75623.47841.77592.92813.81223.06452.45232.59173.84313.79323.03404.34353.6984
H81.09563.10432.27982.27723.32462.75351.77593.81223.88612.47822.97173.71172.75684.25693.35303.82882.7883
H92.74901.09582.20782.21632.75623.47842.92813.81221.77593.06452.45232.59173.84313.03403.79323.69844.3435
H103.10431.09562.27982.27723.32462.75353.81223.88611.77592.47822.97173.71172.75683.35304.25692.78833.8288
H112.18852.18851.09642.72562.15143.15763.06452.47823.06452.47823.77143.06992.62462.50632.50633.90043.9004
H122.24942.24943.08281.09584.21762.15302.45232.97172.45232.97173.77144.10203.07594.91874.91872.50382.5038
H132.88352.88352.17163.68491.09635.02762.59173.71172.59173.71173.06994.10205.09601.77051.77055.67405.6740
H142.79472.79472.98552.18234.49351.09623.84312.75683.84312.75682.62463.07595.09604.94094.94091.76881.7688
H153.57852.99382.17744.19951.09625.20123.79324.25693.03403.35302.50634.91871.77054.94091.77015.76026.0263
H162.99383.57852.17744.19951.09625.20123.03403.35303.79324.25692.50634.91871.77054.94091.77016.02635.7602
H173.53662.94303.87472.17825.34511.09604.34353.82883.69842.78833.90042.50385.67401.76885.76026.02631.7717
H182.94303.53663.87472.17825.34511.09603.69842.78834.34353.82883.90042.50385.67401.76886.02635.76021.7717

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 88.469 C1 C3 C5 118.783
C1 C3 H11 109.993 C1 C4 C2 88.291
C1 C4 C6 114.412 C1 C4 H12 114.759
C2 C3 C5 118.783 C2 C3 H11 109.993
C2 C4 C6 114.412 C2 C4 H12 114.759
C3 C1 C4 89.400 C3 C1 H7 111.551
C3 C1 H8 117.532 C3 C2 C4 89.400
C3 C2 H9 111.551 C3 C2 H10 117.532
C3 C5 H13 110.877 C3 C5 H15 111.347
C3 C5 H16 111.347 C4 C1 H7 112.059
C4 C1 H8 117.116 C4 C2 H9 112.059
C4 C2 H10 117.116 C4 C6 H14 111.419
C4 C6 H17 111.104 C4 C6 H18 111.104
C5 C3 H11 109.275 C6 C4 H12 109.125
H7 C1 H8 108.271 H9 C2 H10 108.271
H13 C5 H15 107.708 H13 C5 H16 107.708
H14 C6 H17 107.588 H14 C6 H18 107.588
H15 C5 H16 107.679 H17 C6 H18 107.862
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.177      
2 C -0.177      
3 C -0.053      
4 C -0.072      
5 C -0.317      
6 C -0.312      
7 H 0.088      
8 H 0.086      
9 H 0.088      
10 H 0.086      
11 H 0.085      
12 H 0.079      
13 H 0.096      
14 H 0.098      
15 H 0.101      
16 H 0.101      
17 H 0.100      
18 H 0.100      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.024 0.000 0.000 0.024
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.300 0.290 0.000
y 0.290 -40.189 0.000
z 0.000 0.000 -40.003
Traceless
 xyz
x 0.796 0.290 0.000
y 0.290 -0.537 0.000
z 0.000 0.000 -0.258
Polar
3z2-r2-0.517
x2-y20.888
xy0.290
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.580 -0.566 0.000
y -0.566 10.258 0.000
z 0.000 0.000 8.916


<r2> (average value of r2) Å2
<r2> 193.332
(<r2>)1/2 13.904