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All results from a given calculation for C5H12 (Butane, 2-methyl-)

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-197.472564
Energy at 298.15K-197.485266
Nuclear repulsion energy190.986432
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 PBEPBE/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3054 3036 25.38      
2 A 3048 3031 53.37      
3 A 3045 3027 17.96      
4 A 3042 3024 44.30      
5 A 3037 3020 41.79      
6 A 3033 3015 7.77      
7 A 2984 2967 23.13      
8 A 2965 2948 22.34      
9 A 2961 2944 31.15      
10 A 2956 2939 34.89      
11 A 2942 2925 34.59      
12 A 2925 2908 11.74      
13 A 1434 1426 3.95      
14 A 1429 1421 6.88      
15 A 1426 1418 4.16      
16 A 1420 1411 10.54      
17 A 1417 1409 1.83      
18 A 1406 1398 0.20      
19 A 1401 1393 0.18      
20 A 1351 1343 4.72      
21 A 1345 1337 1.26      
22 A 1336 1328 6.06      
23 A 1324 1316 1.10      
24 A 1306 1299 1.22      
25 A 1266 1258 3.60      
26 A 1241 1233 2.28      
27 A 1159 1152 1.28      
28 A 1150 1144 0.06      
29 A 1134 1127 2.84      
30 A 1040 1034 0.41      
31 A 997 991 3.10      
32 A 946 941 4.15      
33 A 931 926 0.34      
34 A 902 896 0.52      
35 A 891 886 1.30      
36 A 780 776 0.17      
37 A 749 745 2.87      
38 A 445 442 0.26      
39 A 403 400 0.24      
40 A 354 352 0.00      
41 A 261 259 0.01      
42 A 246 245 0.00      
43 A 222 221 0.01      
44 A 213 211 0.07      
45 A 95 94 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 34004.5 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 33807.3 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 PBEPBE/cc-pVDZ
ABC
0.24087 0.11058 0.08458

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 -2.956 -0.593 0.320
H2 -2.230 -0.034 -1.217
H3 -2.191 1.017 0.231
C4 -2.102 -0.034 -0.113
H5 -0.770 -1.738 0.003
H6 -0.662 -0.647 1.400
C7 -0.765 -0.663 0.290
H8 0.345 -0.003 -1.438
C9 0.483 -0.002 -0.330
H10 -0.206 2.089 -0.154
H11 1.563 1.908 -0.338
H12 0.783 1.512 1.225
C13 0.661 1.454 0.121
H14 2.644 -0.383 -0.484
H15 1.648 -1.869 -0.368
H16 1.923 -0.858 1.084
C17 1.741 -0.822 -0.012

Atom - Atom Distances (Å)
  H1 H2 H3 C4 H5 H6 C7 H8 C9 H10 H11 H12 C13 H14 H15 H16 C17
H11.78901.78471.10882.48762.53592.19203.78553.54903.87065.20644.38514.16035.66084.82644.94494.7141
H21.78901.78881.11082.55433.11132.19352.58432.85413.11994.35084.17483.51554.94094.37314.81844.2241
H31.78471.78881.10923.10812.54442.20433.20202.91582.28863.89953.17442.88665.08354.83954.60034.3475
C41.10881.11081.10922.16602.17681.53152.78222.59402.84684.15353.53603.14644.77284.18234.27883.9243
H52.48762.55433.10812.16601.77521.11262.51572.16663.87204.34253.80413.50053.70552.45003.03232.6733
H62.53593.11132.54442.17681.77521.11463.07852.17213.17953.80762.60422.79273.81363.15452.61192.7921
C72.19202.19352.20431.53151.11261.11462.15661.54212.84343.52492.82902.55823.50672.77642.80932.5292
H83.78552.58433.20202.78222.51573.07852.15661.11592.51612.51973.09502.15762.51782.51413.09522.1571
C93.54902.85412.91582.59402.16662.17211.54211.11592.20922.19502.19171.53562.19952.20032.19221.5351
H103.87063.11992.28862.84683.87203.17952.84342.51612.20921.78721.79191.10853.78664.37573.84023.5052
H115.20644.35083.89954.15354.34253.80763.52492.51972.19501.78721.79061.10952.53753.77823.13102.7557
H124.38514.17483.17443.53603.80412.60422.82903.09502.19171.79191.79061.11193.15813.83652.63372.8103
C134.16033.51552.88663.14643.50052.79272.55822.15761.53561.10851.10951.11192.77033.50112.80482.5236
H145.66084.94095.08354.77283.70553.81363.50672.51782.19953.78662.53753.15812.77031.79271.79031.1094
H154.82644.37314.83954.18232.45003.15452.77642.51412.20034.37573.77823.83653.50111.79271.79101.1096
H164.94494.81844.60034.27883.03232.61192.80933.09522.19223.84023.13102.63372.80481.79031.79101.1116
C174.71414.22414.34753.92432.67332.79212.52922.15711.53513.50522.75572.81032.52361.10941.10961.1116

picture of Butane, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C4 H2 107.417 H1 C4 H3 107.151
H1 C4 C7 111.236 H2 C4 H3 107.366
H2 C4 C7 111.234 H3 C4 C7 112.189
C4 C7 H5 108.974 C4 C7 H6 109.700
C4 C7 C9 115.117 H5 C7 H6 105.693
H5 C7 C9 108.313 H6 C7 C9 108.620
C7 C9 H8 107.368 C7 C9 C13 112.443
C7 C9 C17 110.554 H8 C9 C13 107.876
H8 C9 C17 107.872 C9 C13 H10 112.333
C9 C13 H11 111.142 C9 C13 H12 110.739
C9 C17 H14 111.538 C9 C17 H15 111.593
C9 C17 H16 110.824 H10 C13 H11 107.369
H10 C13 H12 107.607 H11 C13 H12 107.430
C13 C9 C17 110.534 H14 C17 H15 107.782
H14 C17 H16 107.424 H15 C17 H16 107.478
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.027      
2 H 0.029      
3 H 0.034      
4 C -0.049      
5 H 0.012      
6 H 0.013      
7 C -0.032      
8 H 0.003      
9 C -0.158      
10 H 0.026      
11 H 0.024      
12 H 0.025      
13 C -0.012      
14 H 0.022      
15 H 0.022      
16 H 0.025      
17 C -0.009      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.036 -0.023 -0.064 0.077
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.546 0.228 -0.193
y 0.228 -35.372 0.054
z -0.193 0.054 -34.978
Traceless
 xyz
x -0.371 0.228 -0.193
y 0.228 -0.110 0.054
z -0.193 0.054 0.481
Polar
3z2-r20.962
x2-y2-0.174
xy0.228
xz-0.193
yz0.054


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.906 -0.020 -0.009
y -0.020 8.911 -0.030
z -0.009 -0.030 8.047


<r2> (average value of r2) Å2
<r2> 159.485
(<r2>)1/2 12.629