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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-235.786570
Energy at 298.15K-235.799959
HF Energy-235.786570
Nuclear repulsion energy247.576643
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' 3119 3000 114.21      
2 A' 3103 2985 35.20      
3 A' 3098 2981 37.17      
4 A' 3069 2953 12.87      
5 A' 3054 2938 7.70      
6 A' 3047 2932 14.08      
7 A' 3029 2914 33.71      
8 A' 3026 2911 33.64      
9 A' 1544 1485 11.76      
10 A' 1541 1483 0.53      
11 A' 1536 1477 2.11      
12 A' 1456 1401 7.86      
13 A' 1454 1398 0.30      
14 A' 1400 1347 0.03      
15 A' 1384 1331 9.36      
16 A' 1303 1254 3.47      
17 A' 1271 1223 0.22      
18 A' 1225 1179 0.65      
19 A' 1139 1095 0.21      
20 A' 1065 1025 0.97      
21 A' 987 949 1.10      
22 A' 953 917 1.58      
23 A' 876 843 1.16      
24 A' 800 769 1.24      
25 A' 660 635 1.36      
26 A' 441 424 0.25      
27 A' 326 314 0.08      
28 A' 76 73 0.01      
29 A" 3112 2993 16.30      
30 A" 3103 2985 33.43      
31 A" 3100 2982 33.95      
32 A" 3054 2938 70.48      
33 A" 1542 1483 2.92      
34 A" 1540 1481 1.45      
35 A" 1521 1463 5.28      
36 A" 1315 1265 0.85      
37 A" 1310 1260 0.45      
38 A" 1253 1206 0.31      
39 A" 1166 1122 1.60      
40 A" 1153 1110 0.08      
41 A" 1025 986 4.53      
42 A" 910 875 0.00      
43 A" 900 866 0.18      
44 A" 836 804 0.10      
45 A" 386 371 0.01      
46 A" 261 252 0.23      
47 A" 248 238 0.01      
48 A" 231 222 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 36972.8 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 35567.8 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
0.26080 0.07555 0.06837

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 0.243 0.076 1.092
C2 0.243 0.076 -1.092
C3 -0.661 0.740 0.000
C4 0.839 -0.877 0.000
C5 -0.816 2.260 0.000
C6 0.243 -2.290 0.000
H7 0.991 0.780 1.479
H8 -0.258 -0.395 1.945
H9 0.991 0.780 -1.479
H10 -0.258 -0.395 -1.945
H11 -1.655 0.274 0.000
H12 1.933 -0.949 0.000
H13 0.166 2.751 0.000
H14 -0.854 -2.260 0.000
H15 -1.363 2.605 -0.886
H16 -1.363 2.605 0.886
H17 0.561 -2.852 -0.887
H18 0.561 -2.852 0.887

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.18491.56551.56782.66102.60641.09681.09572.76863.11462.19882.25842.89052.80283.59013.00253.54932.9530
C22.18491.56551.56782.66102.60642.76863.11461.09681.09572.19882.25842.89052.80283.00253.59012.95303.5493
C31.56551.56552.20551.52753.16192.21712.28802.21712.28801.09783.09512.17473.00602.18102.18103.89653.8965
C41.56781.56782.20553.54651.53332.22632.28462.22632.28462.74671.09643.69062.18594.21424.21422.18292.1829
C52.66102.66101.52753.54654.67122.76393.33812.76393.33812.15554.22491.09784.51961.09771.09775.36785.3678
C62.60642.60643.16191.53334.67123.48862.76153.48862.76153.19022.15745.04201.09775.22735.22731.09741.0974
H71.09682.76862.21712.22632.76393.48861.77672.95763.82933.07262.46252.59883.85103.80333.03674.35613.7051
H81.09573.11462.28802.28463.33812.76151.77673.82933.89062.48672.98173.72342.75994.27083.36783.83812.7977
H92.76861.09682.21712.22632.76393.48862.95763.82931.77673.07262.46252.59883.85103.03673.80333.70514.3561
H103.11461.09572.28802.28463.33812.76153.82933.89061.77672.48672.98173.72342.75993.36784.27082.79773.8381
H112.19882.19881.09782.74672.15553.19023.07262.48673.07262.48673.79063.07432.65752.51042.51043.93333.9333
H122.25842.25843.09511.09644.22492.15742.46252.98172.46252.98173.79064.10063.08014.92744.92742.50862.5086
H132.89052.89052.17473.69061.09785.04202.59883.72342.59883.72343.07434.10065.11401.77361.77365.68725.6872
H142.80282.80283.00602.18594.51961.09773.85102.75993.85102.75992.65753.08015.11404.97084.97081.77211.7721
H153.59013.00252.18104.21421.09775.22733.80334.27083.03673.36782.51044.92741.77364.97081.77305.78626.0520
H163.00253.59012.18104.21421.09775.22733.03673.36783.80334.27082.51044.92741.77364.97081.77306.05205.7862
H173.54932.95303.89652.18295.36781.09744.35613.83813.70512.79773.93332.50865.68721.77215.78626.05201.7745
H182.95303.54933.89652.18295.36781.09743.70512.79774.35613.83813.93332.50865.68721.77216.05205.78621.7745

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 88.509 C1 C3 C5 118.700
C1 C3 H11 110.060 C1 C4 C2 88.343
C1 C4 C6 114.381 C1 C4 H12 114.769
C2 C3 C5 118.700 C2 C3 H11 110.060
C2 C4 C6 114.381 C2 C4 H12 114.769
C3 C1 C4 89.483 C3 C1 H7 111.559
C3 C1 H8 117.491 C3 C2 C4 89.483
C3 C2 H9 111.559 C3 C2 H10 117.491
C3 C5 H13 110.792 C3 C5 H15 111.309
C3 C5 H16 111.309 C4 C1 H7 112.126
C4 C1 H8 117.023 C4 C2 H9 112.126
C4 C2 H10 117.023 C4 C6 H14 111.294
C4 C6 H17 111.077 C4 C6 H18 111.077
C5 C3 H11 109.282 C6 C4 H12 109.123
H7 C1 H8 108.263 H9 C2 H10 108.263
H13 C5 H15 107.770 H13 C5 H16 107.770
H14 C6 H17 107.663 H14 C6 H18 107.663
H15 C5 H16 107.727 H17 C6 H18 107.902
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 -0.244      
2 C -0.244      
3 C -0.095      
4 C -0.110      
5 C -0.409      
6 C -0.403      
7 H 0.123      
8 H 0.121      
9 H 0.123      
10 H 0.121      
11 H 0.121      
12 H 0.116      
13 H 0.127      
14 H 0.129      
15 H 0.131      
16 H 0.131      
17 H 0.131      
18 H 0.131      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.026 0.002 0.000 0.026
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.472 0.253 0.000
y 0.253 -40.302 0.000
z 0.000 0.000 -40.226
Traceless
 xyz
x 0.792 0.253 0.000
y 0.253 -0.453 0.000
z 0.000 0.000 -0.339
Polar
3z2-r2-0.678
x2-y20.830
xy0.253
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.389 -0.483 0.000
y -0.483 9.966 0.000
z 0.000 0.000 8.756


<r2> (average value of r2) Å2
<r2> 195.194
(<r2>)1/2 13.971