return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H6(CH3)2 (1,1-dimethylcyclobutane)

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

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

Conformer 1 (C2V)

Jump to S1C2
Vibrational Frequencies calculated at mPW1PW91/6-31G**
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-235.809577
Energy at 298.15K-235.823052
Nuclear repulsion energy255.368696
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 mPW1PW91/6-31G**
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' 3160 3007 64.22      
2 A' 3141 2988 41.68      
3 A' 3139 2987 24.04      
4 A' 3133 2981 9.41      
5 A' 3101 2950 32.03      
6 A' 3084 2934 9.30      
7 A' 3057 2908 29.10      
8 A' 3052 2904 30.12      
9 A' 1528 1454 2.10      
10 A' 1519 1445 1.79      
11 A' 1508 1434 5.71      
12 A' 1494 1421 0.03      
13 A' 1431 1362 1.86      
14 A' 1418 1349 10.96      
15 A' 1336 1271 6.53      
16 A' 1324 1260 2.95      
17 A' 1247 1187 1.42      
18 A' 1219 1159 0.33      
19 A' 1025 976 0.59      
20 A' 1001 953 0.90      
21 A' 961 914 0.54      
22 A' 940 894 0.37      
23 A' 882 839 0.30      
24 A' 719 685 1.27      
25 A' 609 579 1.55      
26 A' 397 378 0.34      
27 A' 349 332 0.03      
28 A' 158 150 0.01      
29 A" 3139 2987 23.25      
30 A" 3136 2984 34.35      
31 A" 3131 2979 7.59      
32 A" 3080 2930 70.49      
33 A" 1523 1449 6.45      
34 A" 1498 1425 0.26      
35 A" 1490 1418 3.33      
36 A" 1293 1231 0.12      
37 A" 1269 1207 0.39      
38 A" 1237 1177 0.18      
39 A" 1203 1144 3.41      
40 A" 1099 1045 0.04      
41 A" 994 946 0.02      
42 A" 969 922 1.69      
43 A" 896 852 0.06      
44 A" 796 757 0.30      
45 A" 387 369 0.11      
46 A" 302 288 0.02      
47 A" 270 257 0.01      
48 A" 227 216 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 36933.6 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 35142.3 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 mPW1PW91/6-31G**
ABC
0.16662 0.10357 0.09457

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.095 0.404 0.000
C2 0.351 -1.727 0.000
C3 -0.095 -0.717 1.078
C4 -0.095 -0.717 -1.078
C5 1.213 1.187 0.000
C6 -1.289 1.344 0.000
H7 1.432 -1.882 0.000
H8 -0.133 -2.706 0.000
H9 0.557 -0.575 1.945
H10 0.557 -0.575 -1.945
H11 -1.107 -0.927 1.437
H12 -1.107 -0.927 -1.437
H13 2.082 0.522 0.000
H14 -2.231 0.788 0.000
H15 1.285 1.828 -0.885
H16 1.285 1.828 0.885
H17 -1.282 1.991 0.884
H18 -1.282 1.991 -0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17681.55561.55561.52501.51972.74943.10992.27312.27312.20492.20492.18032.17022.17162.17162.17002.1700
C22.17681.54271.54273.03923.48141.09271.09202.26992.26992.19752.19752.83823.60423.78053.78054.15574.1557
C31.55561.54272.15632.55012.61512.20282.26211.09383.09601.09402.71922.72752.82693.49832.90202.96363.5488
C41.55561.54272.15632.55012.61512.20282.26213.09601.09382.71921.09402.72752.82692.90203.49833.54882.9636
C51.52503.03922.55012.55012.50703.07744.11942.70592.70593.45273.45271.09413.46731.09481.09482.76632.7663
C61.51973.48142.61512.61512.50704.22094.21183.29753.29752.69432.69433.46961.09412.76432.76431.09521.0952
H72.74941.09272.20282.20283.07744.22091.76892.50182.50183.07003.07002.49064.53333.81713.81714.81154.8115
H83.10991.09202.26212.26214.11944.21181.76892.96622.96622.48502.48503.91494.07534.83214.83214.91544.9154
H92.27312.26991.09383.09602.70593.29752.50182.96623.89041.77473.78552.70473.66233.78362.72583.33054.2389
H102.27312.26993.09601.09382.70593.29752.50182.96623.89043.78551.77472.70473.66232.72583.78364.23893.3305
H112.20492.19751.09402.71923.45272.69433.07002.48501.77473.78552.87403.78632.50434.32503.69042.97583.7330
H122.20492.19752.71921.09403.45272.69433.07002.48503.78551.77472.87403.78632.50433.69044.32503.73302.9758
H132.18032.83822.72752.72751.09413.46962.49063.91492.70472.70473.78633.78634.32111.76731.76733.77543.7754
H142.17023.60422.82692.82693.46731.09414.53334.07533.66233.66232.50432.50434.32113.77183.77181.76891.7689
H152.17163.78053.49832.90201.09482.76433.81714.83213.78362.72584.32503.69041.76733.77181.76983.12142.5720
H162.17163.78052.90203.49831.09482.76433.81714.83212.72583.78363.69044.32501.76733.77181.76982.57203.1214
H172.17004.15572.96363.54882.76631.09524.81154.91543.33054.23892.97583.73303.77541.76893.12142.57201.7674
H182.17004.15573.54882.96362.76631.09524.81154.91544.23893.33053.73302.97583.77541.76892.57203.12141.7674

picture of 1,1-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 89.269 C1 C3 H9 117.101
C1 C3 H11 111.450 C1 C4 C2 89.269
C1 C4 H10 117.101 C1 C4 H12 111.450
C1 C5 H13 111.643 C1 C5 H15 110.905
C1 C5 H16 110.905 C1 C6 H14 111.211
C1 C6 H17 111.128 C1 C6 H18 111.128
C2 C3 H9 117.834 C2 C3 H11 111.776
C2 C4 H10 117.834 C2 C4 H12 111.776
C3 C1 C4 87.749 C3 C1 C5 111.738
C3 C1 C6 116.494 C3 C2 C4 88.674
C3 C2 H7 112.279 C3 C2 H8 117.284
C4 C1 C5 111.738 C4 C1 C6 116.494
C4 C2 H7 112.279 C4 C2 H8 117.284
C5 C1 C6 110.852 H7 C2 H8 108.131
H9 C3 H11 108.421 H10 C4 H12 108.421
H13 C5 H15 107.681 H13 C5 H16 107.681
H14 C6 H17 107.806 H14 C6 H18 107.806
H15 C5 H16 107.859 H17 C6 H18 107.593
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.004      
2 C -0.263      
3 C -0.234      
4 C -0.234      
5 C -0.377      
6 C -0.381      
7 H 0.131      
8 H 0.124      
9 H 0.120      
10 H 0.120      
11 H 0.123      
12 H 0.123      
13 H 0.125      
14 H 0.121      
15 H 0.127      
16 H 0.127      
17 H 0.126      
18 H 0.126      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.010 0.030 0.000 0.032
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.067 0.281 0.000
y 0.281 -39.824 0.000
z 0.000 0.000 -39.656
Traceless
 xyz
x 0.673 0.281 0.000
y 0.281 -0.462 0.000
z 0.000 0.000 -0.211
Polar
3z2-r2-0.422
x2-y20.757
xy0.281
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.942 -0.087 0.000
y -0.087 9.685 0.000
z 0.000 0.000 8.790


<r2> (average value of r2) Å2
<r2> 167.299
(<r2>)1/2 12.934