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

using model chemistry: B3LYP/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 (C2V)

Jump to S1C2
Vibrational Frequencies calculated at B3LYP/6-31+G**
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-31+G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-235.868627
Energy at 298.15K-235.882033
Nuclear repulsion energy253.962426
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/6-31+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 3005 83.64      
2 A' 3095 2984 48.63      
3 A' 3093 2982 32.38      
4 A' 3087 2976 11.48      
5 A' 3063 2954 35.10      
6 A' 3048 2939 12.77      
7 A' 3023 2915 39.62      
8 A' 3017 2909 36.80      
9 A' 1517 1463 2.11      
10 A' 1507 1453 2.98      
11 A' 1496 1442 6.22      
12 A' 1485 1432 0.04      
13 A' 1422 1372 2.00      
14 A' 1406 1356 9.89      
15 A' 1315 1268 6.26      
16 A' 1299 1253 4.13      
17 A' 1232 1188 1.81      
18 A' 1206 1163 0.60      
19 A' 1006 970 0.21      
20 A' 984 948 0.53      
21 A' 950 916 0.27      
22 A' 918 885 0.19      
23 A' 867 836 0.10      
24 A' 711 686 1.13      
25 A' 605 584 0.95      
26 A' 399 385 0.49      
27 A' 351 338 0.00      
28 A' 137 132 0.00      
29 A" 3095 2984 18.40      
30 A" 3089 2978 53.16      
31 A" 3082 2971 9.11      
32 A" 3043 2934 93.96      
33 A" 1512 1458 7.99      
34 A" 1489 1436 0.54      
35 A" 1483 1430 4.30      
36 A" 1278 1233 0.20      
37 A" 1257 1212 0.25      
38 A" 1225 1181 0.00      
39 A" 1185 1143 2.02      
40 A" 1088 1049 0.03      
41 A" 988 953 0.00      
42 A" 941 907 2.04      
43 A" 876 845 0.00      
44 A" 792 764 0.10      
45 A" 390 376 0.01      
46 A" 304 293 0.01      
47 A" 267 258 0.01      
48 A" 225 217 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 36483.1 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 35177.0 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/6-31+G**
ABC
0.16477 0.10215 0.09342

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.089 0.407 0.000
C2 0.330 -1.747 0.000
C3 -0.089 -0.720 1.087
C4 -0.089 -0.720 -1.087
C5 1.222 1.203 0.000
C6 -1.293 1.349 0.000
H7 1.408 -1.939 0.000
H8 -0.188 -2.710 0.000
H9 0.584 -0.583 1.940
H10 0.584 -0.583 -1.940
H11 -1.098 -0.915 1.469
H12 -1.098 -0.915 -1.469
H13 2.096 0.542 0.000
H14 -2.236 0.790 0.000
H15 1.289 1.845 -0.887
H16 1.289 1.845 0.887
H17 -1.287 1.997 0.886
H18 -1.287 1.997 -0.886

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.19431.56541.56541.53361.52822.78313.11882.27992.27992.21862.21862.18992.17992.18042.18042.17862.1786
C22.19431.55291.55293.08123.49531.09451.09412.27702.27702.21082.21082.89093.60773.82163.82164.17304.1730
C31.56541.55292.17322.56812.62842.21552.26981.09593.10401.09572.75412.74772.83983.51742.91842.97553.5643
C41.56541.55292.17322.56812.62842.21552.26983.10401.09592.75411.09572.74772.83982.91843.51743.56432.9755
C51.53363.08122.56812.56812.51893.14724.15912.71282.71283.46723.46721.09613.48191.09701.09702.77682.7768
C61.52823.49532.62842.62842.51894.25484.20663.31933.31932.70582.70583.48401.09612.77482.77481.09751.0975
H72.78311.09452.21552.21553.14724.25481.77242.50672.50673.07933.07932.57494.55173.88823.88824.85154.8515
H83.11881.09412.26982.26984.15914.20661.77242.98122.98122.49132.49133.97444.05454.86994.86994.91394.9139
H92.27992.27701.09593.10402.71283.31932.50672.98123.88081.77763.81592.70513.68743.79252.73853.35644.2593
H102.27992.27703.10401.09592.71283.31932.50672.98123.88083.81591.77762.70513.68742.73853.79254.25933.3564
H112.21862.21081.09572.75413.46722.70583.07932.49131.77763.81592.93793.80552.52164.34323.69482.97553.7496
H122.21862.21082.75411.09573.46722.70583.07932.49133.81591.77762.93793.80552.52163.69484.34323.74962.9755
H132.18992.89092.74772.74771.09613.48402.57493.97442.70512.70513.80553.80554.33901.77071.77073.78813.7881
H142.17993.60772.83982.83983.48191.09614.55174.05453.68743.68742.52162.52164.33903.78473.78471.77231.7723
H152.18043.82163.51742.91841.09702.77483.88824.86993.79252.73854.34323.69481.77073.78471.77393.13122.5809
H162.18043.82162.91843.51741.09702.77483.88824.86992.73853.79253.69484.34321.77073.78471.77392.58093.1312
H172.17864.17302.97553.56432.77681.09754.85154.91393.35644.25932.97553.74963.78811.77233.13122.58091.7720
H182.17864.17303.56432.97552.77681.09754.85154.91394.25933.35643.74962.97553.78811.77232.58093.13121.7720

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 89.447 C1 C3 H9 116.790
C1 C3 H11 111.747 C1 C4 C2 89.447
C1 C4 H10 116.790 C1 C4 H12 111.747
C1 C5 H13 111.688 C1 C5 H15 110.866
C1 C5 H16 110.866 C1 C6 H14 111.272
C1 C6 H17 111.080 C1 C6 H18 111.080
C2 C3 H9 117.510 C2 C3 H11 112.016
C2 C4 H10 117.510 C2 C4 H12 112.016
C3 C1 C4 87.918 C3 C1 C5 111.924
C3 C1 C6 116.337 C3 C2 C4 88.810
C3 C2 H7 112.471 C3 C2 H8 117.021
C4 C1 C5 111.924 C4 C1 C6 116.337
C4 C2 H7 112.471 C4 C2 H8 117.021
C5 C1 C6 110.706 H7 C2 H8 108.165
H9 C3 H11 108.401 H10 C4 H12 108.401
H13 C5 H15 107.680 H13 C5 H16 107.680
H14 C6 H17 107.792 H14 C6 H18 107.792
H15 C5 H16 107.897 H17 C6 H18 107.660
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.429      
2 C -0.209      
3 C -0.404      
4 C -0.404      
5 C -0.592      
6 C -0.495      
7 H 0.140      
8 H 0.134      
9 H 0.137      
10 H 0.137      
11 H 0.134      
12 H 0.134      
13 H 0.145      
14 H 0.140      
15 H 0.145      
16 H 0.145      
17 H 0.142      
18 H 0.142      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.010 0.020 0.000 0.022
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.487 0.322 0.000
y 0.322 -41.322 0.000
z 0.000 0.000 -41.177
Traceless
 xyz
x 0.763 0.322 0.000
y 0.322 -0.490 0.000
z 0.000 0.000 -0.273
Polar
3z2-r2-0.546
x2-y20.836
xy0.322
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.054 -0.178 0.000
y -0.178 11.081 0.000
z 0.000 0.000 10.080


<r2> (average value of r2) Å2
<r2> 169.950
(<r2>)1/2 13.036