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

using model chemistry: B3PW91/6-31+G**

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 B3PW91/6-31+G**
Rotational Constants (cm-1) from geometry optimized at B3PW91/6-31+G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3PW91/6-31+G**
 hartrees
Energy at 0K-235.785047
Energy at 298.15K-235.798406
HF Energy-235.785047
Nuclear repulsion energy249.331631
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 B3PW91/6-31+G**
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' 3116 2992 122.29      
2 A' 3111 2987 15.19      
3 A' 3107 2983 25.33      
4 A' 3068 2946 20.73      
5 A' 3056 2934 11.89      
6 A' 3051 2929 9.05      
7 A' 3034 2913 37.10      
8 A' 3032 2911 35.25      
9 A' 1502 1442 11.15      
10 A' 1496 1436 2.01      
11 A' 1492 1432 3.57      
12 A' 1412 1355 11.16      
13 A' 1409 1353 1.83      
14 A' 1378 1323 0.76      
15 A' 1362 1307 10.08      
16 A' 1278 1227 3.80      
17 A' 1252 1202 0.48      
18 A' 1198 1151 0.20      
19 A' 1140 1095 0.33      
20 A' 1054 1012 0.55      
21 A' 962 923 1.05      
22 A' 945 908 0.86      
23 A' 869 835 1.11      
24 A' 808 776 1.29      
25 A' 644 618 1.81      
26 A' 427 410 0.09      
27 A' 325 312 0.12      
28 A' 93 89 0.01      
29 A" 3114 2989 37.42      
30 A" 3111 2987 28.08      
31 A" 3108 2984 9.95      
32 A" 3050 2929 85.77      
33 A" 1497 1438 5.41      
34 A" 1495 1435 0.41      
35 A" 1470 1412 5.62      
36 A" 1291 1240 0.38      
37 A" 1271 1221 0.00      
38 A" 1231 1182 0.06      
39 A" 1143 1097 0.54      
40 A" 1130 1085 0.02      
41 A" 997 957 3.74      
42 A" 916 879 0.00      
43 A" 907 871 0.05      
44 A" 809 776 0.21      
45 A" 375 360 0.00      
46 A" 259 249 0.10      
47 A" 253 243 0.00      
48 A" 235 226 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 36642.7 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 35180.6 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 B3PW91/6-31+G**
ABC
0.26027 0.07685 0.07008

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.257 0.086 1.080
C2 0.257 0.086 -1.080
C3 -0.660 0.715 0.000
C4 0.851 -0.859 0.000
C5 -0.865 2.220 0.000
C6 0.257 -2.262 0.000
H7 0.998 0.807 1.446
H8 -0.225 -0.384 1.945
H9 0.998 0.807 -1.446
H10 -0.225 -0.384 -1.945
H11 -1.636 0.214 0.000
H12 1.945 -0.928 0.000
H13 0.098 2.746 0.000
H14 -0.839 -2.233 0.000
H15 -1.423 2.547 -0.885
H16 -1.423 2.547 0.885
H17 0.573 -2.825 -0.886
H18 0.573 -2.825 0.886

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15961.55031.55272.64182.58411.09651.09622.72933.09872.18322.24542.87512.78343.56982.98663.52672.9345
C22.15961.55031.55272.64182.58412.72933.09871.09651.09622.18322.24542.87512.78342.98663.56982.93453.5267
C31.55031.55032.18191.51833.11532.20192.27612.20192.27611.09733.07982.16702.95432.17292.17293.85243.8524
C41.55271.55272.18193.52461.52312.21092.27262.21092.27262.70811.09643.68262.17814.19014.19012.17412.1741
C52.64182.64181.51833.52464.62002.74943.31252.74943.31252.14894.21941.09704.45331.09651.09655.32025.3202
C62.58412.58413.11531.52314.62003.47222.74603.47222.74603.11662.15125.01011.09685.17055.17051.09631.0963
H71.09652.72932.20192.21092.74943.47221.77822.89243.79643.06272.44892.58103.83523.78513.03414.33693.6992
H81.09623.09872.27612.27263.31252.74601.77823.79643.88962.47602.96413.69892.75314.24713.33933.82212.7779
H92.72931.09652.20192.21092.74943.47222.89243.79641.77823.06272.44892.58103.83523.03413.78513.69924.3369
H103.09871.09622.27612.27263.31252.74603.79643.88961.77822.47602.96413.69892.75313.33934.24712.77793.8221
H112.18322.18321.09732.70812.14893.11663.06272.47603.06272.47603.75843.06842.57372.50462.50463.86023.8602
H122.24542.24543.07981.09644.21942.15122.44892.96412.44892.96413.75844.11193.07504.91974.91972.50312.5031
H132.87512.87512.16703.68261.09705.01012.58103.69892.58103.69893.06844.11195.06651.77091.77095.66085.6608
H142.78342.78342.95432.17814.45331.09683.83522.75313.83522.75312.57373.07505.06654.89684.89681.76921.7692
H153.56982.98662.17294.19011.09655.17053.78514.24713.03413.33932.50464.91971.77094.89681.77055.73125.9987
H162.98663.56982.17294.19011.09655.17053.03413.33933.78514.24712.50464.91971.77094.89681.77055.99875.7312
H173.52672.93453.85242.17415.32021.09634.33693.82213.69922.77793.86022.50315.66081.76925.73125.99871.7718
H182.93453.52673.85242.17415.32021.09633.69922.77794.33693.82213.86022.50315.66081.76925.99875.73121.7718

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 88.295 C1 C3 C5 118.835
C1 C3 H11 109.913 C1 C4 C2 88.121
C1 C4 C6 114.309 C1 C4 H12 114.805
C2 C3 C5 118.835 C2 C3 H11 109.913
C2 C4 C6 114.309 C2 C4 H12 114.805
C3 C1 C4 89.359 C3 C1 H7 111.431
C3 C1 H8 117.612 C3 C2 C4 89.359
C3 C2 H9 111.431 C3 C2 H10 117.612
C3 C5 H13 110.882 C3 C5 H15 111.385
C3 C5 H16 111.385 C4 C1 H7 111.983
C4 C1 H8 117.121 C4 C2 H9 111.983
C4 C2 H10 117.121 C4 C6 H14 111.443
C4 C6 H17 111.153 C4 C6 H18 111.153
C5 C3 H11 109.430 C6 C4 H12 109.331
H7 C1 H8 108.381 H9 C2 H10 108.381
H13 C5 H15 107.670 H13 C5 H16 107.670
H14 C6 H17 107.547 H14 C6 H18 107.547
H15 C5 H16 107.671 H17 C6 H18 107.813
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.560      
2 C -0.560      
3 C 0.319      
4 C 0.279      
5 C -0.694      
6 C -0.623      
7 H 0.151      
8 H 0.150      
9 H 0.151      
10 H 0.150      
11 H 0.148      
12 H 0.144      
13 H 0.153      
14 H 0.157      
15 H 0.158      
16 H 0.158      
17 H 0.159      
18 H 0.159      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.015 -0.007 0.000 0.017
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.604 0.314 0.000
y 0.314 -40.754 0.000
z 0.000 0.000 -40.528
Traceless
 xyz
x 1.037 0.314 0.000
y 0.314 -0.688 0.000
z 0.000 0.000 -0.349
Polar
3z2-r2-0.698
x2-y21.150
xy0.314
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.381 -0.694 0.000
y -0.694 11.368 0.000
z 0.000 0.000 9.928


<r2> (average value of r2) Å2
<r2> 192.469
(<r2>)1/2 13.873