




= average absorbtion coefficient
, you probably know how to calculate V and S as soon as you know the dimensions (length, width, height) of your room.
Room Dimensions: Length=13.92 ft, Width=11.42 ft, Height=10 ft
Volume: 1589 ft^3
Surface Area Total: 822 ft^2
Surface Area Floor: 158 ft^2
Surface Area Ceiling+Floor: 316 ft^2
Surface Area Front Wall: 114 ft^2
Surface Area Front and Rear Wall: 228 ft^2
Surface Area Left Wall: 139 ft^2
Surface Area Left and Right Wall: 278 ft^2
Surface Area 4 Walls: 506 ft^2
Surface Area 4 Walls + floor: 664 ft^2

| 31 | 63 | 125 | 250 | 500 | 1k | 2k | 4k | 8k | 16k |
| 31 | 40 | 50 | 63 | 80 | 100 | 125 | 160 | 200 | 250 | 315 | 400 | 500 | 630 | 800 | 1k | 1.2k | 1.6k | 2k | 2.5k | 3.2k | 4k | 5k | 6.3k | 8k | 10k | 12k | 16k |
is the absorption per covered unit of floor surface (or whatever boundary)." (quote from Eric Desart).
has units of "Sabins / ft^2".
is different for different objects/materials, and different mountings/placement, and at different frequencies.
values for some things one might find in a home theater:| Material | 125 hz | 250 hz | 500 hz | 1000 hz | 2000 hz | 4000 hz |
|---|---|---|---|---|---|---|
| Carpet | 0.08 | 0.24 | 0.57 | 0.69 | 0.71 | 0.73 |
| Drywall wall 2 layer 5/8" | 0.10 | 0.08 | 0.05 | 0.03 | 0.03 | 0.03 |
| Drywall wall 1 layer 5/8" | 0.15 | 0.08 | 0.05 | 0.03 | 0.03 | 0.03 |
| 6" of 703 on wall | 1.19 | 1.21 | 1.13 | 1.05 | 1.04 | 1.04 |
| Studiotips Superchunk | 1.84 | 1.76 | 1.65 | 1.40 | 1.31 | 1.30 |
| Leather Recliner (each, not per ft^2) | 3.00 | 3.75 | 3.50 | 3.00 | 2.50 | 2.00 |
| Theater upholstered chair (each, not per ft^2) | 1.50 | 3.40 | 4.00 | 4.50 | 4.75 | 4.50 |


In a Dennis Erskine style theater, with the entire front wall covered in absorbtion, and the bottom half the remaining three walls, and carpet on the floor, the absorbtion coefficients for the ATSM style method may also be useable -- because the absorbtion is all together, just like it was in the lab. They may be a little high though, since the percentage of absorbed surface area is so much higher in the home theatre than the laboratory test. | Material | Mounting | 125 hz | 250 hz | 500 hz | 1000 hz | 2000 hz | 4000 hz |
|---|---|---|---|---|---|---|---|
| 701, plain 2" thick | on wall | 0.22 | 0.67 | 0.98 | 1.02 | 0.98 | 1.00 |
| 701, plain 2" thick | with 16" air between 701 and wall | 0.76 | 1.02 | 0.98 | 1.07 | 1.04 | 1.20 |
| Material | Mounting | 125 hz | 250 hz | 500 hz | 1000 hz | 2000 hz | 4000 hz |
|---|---|---|---|---|---|---|---|
| 703, plain 4" thick | on wall | 0.84 | 1.24 | 1.24 | 1.08 | 1.00 | 0.97 |
| 703, plain 4" thick | 2'x8' mounted 30" diagonally across a corner Studiotips Corner Absorber | 1.85 | 1.94 | 2.07 | 1.75 | 1.60 | 1.56 |


= average absorbtion coefficient


) back into the equation we have
i= absorbtion coefficient, of each individual object
is frequency dependant.| Material | 125 hz | 250 hz | 500 hz | 1000 hz | 2000 hz | 4000 hz |
|---|---|---|---|---|---|---|
| Carpet | 0.08 | 0.24 | 0.57 | 0.69 | 0.71 | 0.73 |
| 6" of 703 on wall | 1.19 | 1.21 | 1.13 | 1.05 | 1.04 | 1.04 |







)| Material | 125 hz | 250 hz | 500 hz | 1000 hz | 2000 hz | 4000 hz |
|---|---|---|---|---|---|---|
| Carpet | 0.08 | 0.24 | 0.57 | 0.69 | 0.71 | 0.73 |
| Sabinscarpet @ f | = Scarpet * carpet @ f |
| Sabinscarpet @ 125hz | = (158 ft^2) * (0.08 Sabins / ft^2) |
| = 12.64 Sabins |
| Sabinscarpet @ 250hz | = (158 ft^2) * (0.24 Sabins / ft^2) |
| = 37.92 Sabins |
| Sabinscarpet @ 500hz | = (158 ft^2) * (0.57 Sabins / ft^2) |
| = 90.06 Sabins |
| Sabinscarpet @ 1000hz | = (158 ft^2) * (0.69 Sabins / ft^2) |
| = 109.02 Sabins |
| Sabinscarpet @ 2000hz | = (158 ft^2) * (0.71 Sabins / ft^2) |
| = 112.18 Sabins |
| Sabinscarpet @ 4000hz | = (158 ft^2) * (0.73 Sabins / ft^2) |
| = 115.34 Sabins |

| RT60carpet @ 125hz | = (0.049) * (1589 ft^3) / (12.64 Sabins) |
| = 6.15 seconds |
| RT60carpet @ 250hz | = (0.049) * (1589 ft^3) / (37.92 Sabins) |
| = 2.05 seconds |
| RT60carpet @ 500hz | = (0.049) * (1589 ft^3) / (90.06 Sabins) |
| = 0.86 seconds |
| RT60carpet @ 1000hz | = (0.049) * (1589 ft^3) / (109.02 Sabins) |
| = 0.71 seconds |
| RT60carpet @ 2000hz | = (0.049) * (1589 ft^3) / (112.18 Sabins) |
| = 0.69 seconds |
| RT60carpet @ 4000hz | = (0.049) * (1589 ft^3) / (115.34 Sabins) |
| = 0.67 seconds |

as the walls.| Material | 125 hz | 250 hz | 500 hz | 1000 hz | 2000 hz | 4000 hz |
|---|---|---|---|---|---|---|
| Drywall wall 2 layer 5/8" | 0.10 | 0.08 | 0.05 | 0.03 | 0.03 | 0.03 |
| Sabinswalls @ f | = Swalls * walls @ f |
| Sabinswalls @ 125hz | = (664 ft^2) * (0.10 Sabins / ft^2) |
| = 66.4 Sabins |
| Sabinswalls @ 250hz | = (664 ft^2) * (0.08 Sabins / ft^2) |
| = 53.12 Sabins |
| Sabinswalls @ 500hz | = (664 ft^2) * (0.05 Sabins / ft^2) |
| = 33.2 Sabins |
| Sabinswalls @ 1000hz | = (664 ft^2) * (0.03 Sabins / ft^2) |
| = 19.92 Sabins |
| Sabinswalls @ 2000hz | = (664 ft^2) * (0.03 Sabins / ft^2) |
| = 19.92 Sabins |
| Sabinswalls @ 4000hz | = (664 ft^2) * (0.03 Sabins / ft^2) |
| = 19.92 Sabins |

| RT60@ 125hz | = (0.049) * (1589 ft^3) / (12.64 + 66.4 Sabins) |
| = (0.049) * (1589 ft^3) / (79.04 Sabins) | |
| = 0.98 seconds |
| RT60@ 250hz | = (0.049) * (1589 ft^3) / (37.92 + 53.12 Sabins) |
| = (0.049) * (1589 ft^3) / (91.04 Sabins) | |
| = 0.85 seconds |
| RT60@ 500hz | = (0.049) * (1589 ft^3) / (90.06 + 33.2 Sabins) |
| = (0.049) * (1589 ft^3) / (123.26 Sabins) | |
| = 0.63 seconds |
| RT60@ 1000hz | = (0.049) * (1589 ft^3) / (109.02 + 19.92 Sabins) |
| = (0.049) * (1589 ft^3) / (128.94 Sabins) | |
| = 0.60 seconds |
| RT60@ 2000hz | = (0.049) * (1589 ft^3) / (112.18 + 19.92 Sabins) |
| = (0.049) * (1589 ft^3) / (132.1 Sabins) | |
| = 0.58 seconds |
| RT60@ 4000hz | = (0.049) * (1589 ft^3) / (115.34 + 19.92 Sabins) |
| = (0.049) * (1589 ft^3) / (135.26 Sabins) | |
| = 0.57 seconds |

| Material | 125 hz | 250 hz | 500 hz | 1000 hz | 2000 hz | 4000 hz |
|---|---|---|---|---|---|---|
| ContraCarpet | 0.90 | 0.54 | 0.30 | 0.16 | 0.12 | 0.10 |
| SabinsContraCarpet @ f | = SContraCarpet * ContraCarpet @ f |
| SabinsContraCarpet @ 125hz | = (56 ft^2) * (0.90 Sabins / ft^2) |
| = 50.4 Sabins |
| SabinsContraCarpet @ 250hz | = (56 ft^2) * (0.54 Sabins / ft^2) |
| = 30.24 Sabins |
| SabinsContraCarpet @ 500hz | = (56 ft^2) * (0.30 Sabins / ft^2) |
| = 16.8 Sabins |
| SabinsContraCarpet @ 1000hz | = (56 ft^2) * (0.16 Sabins / ft^2) |
| = 8.96 Sabins |
| SabinsContraCarpet @ 2000hz | = (56 ft^2) * (0.12 Sabins / ft^2) |
| = 6.72 Sabins |
| SabinsContraCarpet @ 4000hz | = (56 ft^2) * (0.10 Sabins / ft^2) |
| = 5.6 Sabins |

| RT60@ 125hz | = (0.049) * (1589 ft^3) / (12.64 + 66.4 + 50.4 Sabins) |
| = (0.049) * (1589 ft^3) / (129.44 Sabins) | |
| = 0.60 seconds |
| RT60@ 250hz | = (0.049) * (1589 ft^3) / (37.92 + 53.12 + 30.24 Sabins) |
| = (0.049) * (1589 ft^3) / (121.28 Sabins) | |
| = 0.64 seconds |
| RT60@ 500hz | = (0.049) * (1589 ft^3) / (90.06 + 33.2 + 16.8 Sabins) |
| = (0.049) * (1589 ft^3) / (140.06 Sabins) | |
| = 0.55 seconds |
| RT60@ 1000hz | = (0.049) * (1589 ft^3) / (109.02 + 19.92 + 8.96 Sabins) |
| = (0.049) * (1589 ft^3) / (137.9 Sabins) | |
| = 0.56 seconds |
| RT60@ 2000hz | = (0.049) * (1589 ft^3) / (112.18 + 19.92 + 6.72 Sabins) |
| = (0.049) * (1589 ft^3) / (138.82 Sabins) | |
| = 0.56 seconds |
| RT60@ 4000hz | = (0.049) * (1589 ft^3) / (115.34 + 19.92 + 5.6 Sabins) |
| = (0.049) * (1589 ft^3) / (140.86 Sabins) | |
| = 0.55 seconds |



Room Dimensions: Length=13.92 ft, Width=11.42 ft, Height=10 ft
Volume: 1589 ft^3
RT60 (ITU Control Room Recommended): 191 ms
Absorbtion to achieve RT60: 406 sabins
'ms' is milli-seconds, or thousands of a second.| V in ft^3 | V in m^3 | ITU RT60 | |
|---|---|---|---|
| 63 | 1.8 | 0.07 | (shower stall - waterproof acoustical treatment required?) |
| 1000 | 28.3 | 0.16 | |
| 1250 | 35.4 | 0.18 | |
| 1500 | 42.5 | 0.19 | |
| 1750 | 49.6 | 0.20 | (approximately 16' x 16' x 7') |
| 2000 | 56.6 | 0.21 | |
| 2250 | 63.7 | 0.22 | |
| 2500 | 70.8 | 0.22 | |
| 2750 | 77.9 | 0.23 | |
| 3000 | 85.0 | 0.24 | |
| 3250 | 92.0 | 0.24 | |
| 3500 | 99.1 | 0.25 | |
| 3750 | 106.2 | 0.26 | |
| 4000 | 113.3 | 0.26 | |
| 4250 | 120.3 | 0.27 | |
| 4500 | 127.4 | 0.27 | |
| 4750 | 134.5 | 0.28 | |
| 5000 | 141.6 | 0.28 | |
| 5250 | 148.7 | 0.29 | |
| 5500 | 155.7 | 0.29 | |
| 5750 | 162.8 | 0.29 | |
| 6000 | 169.9 | 0.30 | |
| 6250 | 177.0 | 0.30 | |
| 6500 | 184.1 | 0.31 | |
| 6750 | 191.1 | 0.31 | |
| 7000 | 198.2 | 0.31 | |
| 7250 | 205.3 | 0.32 | |
| 7500 | 212.4 | 0.32 | |
| 7750 | 219.5 | 0.32 | |
| 8000 | 226.5 | 0.33 | |
| 8250 | 233.6 | 0.33 | |
| 8500 | 240.7 | 0.34 | |
| 8750 | 247.8 | 0.34 | |
| 9000 | 254.9 | 0.34 | |
| 9250 | 261.9 | 0.34 | |
| 9500 | 269.0 | 0.35 | |
| 9750 | 276.1 | 0.35 | |
| 10000 | 283.2 | 0.35 | |
| 11000 | 311.5 | 0.37 | |
| 12000 | 339.8 | 0.38 | |
| 13000 | 368.1 | 0.39 | |
| 14000 | 396.4 | 0.40 | |
| 15000 | 424.8 | 0.40 | |
| 16000 | 453.1 | 0.41 | |
| 17000 | 481.4 | 0.42 | |
| 18000 | 509.7 | 0.43 | |
| 19000 | 538.0 | 0.44 | |
| 20000 | 566.3 | 0.45 | |
| 22500 | 637.1 | 0.46 | |
| 25000 | 707.9 | 0.48 | |
| 27500 | 778.7 | 0.50 | |
| 30000 | 849.5 | 0.51 | |
| 32500 | 920.3 | 0.52 | |
| 35000 | 991.1 | 0.54 | |
| 37500 | 1061.9 | 0.55 | |
| 40000 | 1132.7 | 0.56 | |
| 50000 | 1415.8 | 0.60 | |
| 60000 | 1699.0 | 0.64 | |
| 70000 | 1982.2 | 0.68 | |
| 80000 | 2265.3 | 0.71 | |
| 90000 | 2548.5 | 0.74 | |
| 100000 | 2831.7 | 0.76 | |
| 125000 | 3539.6 | 0.82 | |
| 150000 | 4247.5 | 0.87 | |
| 175000 | 4955.4 | 0.92 | |
| 200000 | 5663.4 | 0.96 | |
| 225000 | 6371.3 | 1.00 | (approximately 100' x 100' x 22') |
| Decibel | Relative Energy | Absorbtion | Watts/m^2 | Example |
|---|---|---|---|---|
| -10 dB | 0.10 | 1.0E-13 | ||
| -5 dB | 0.32 | 3.2E-13 | ||
| 0 dB | 1.00 | 0.00 | 1.0E-12 | Threshold of Hearing |
| 1 dB | 1.26 | 0.21 | 1.3E-12 | |
| 2 dB | 1.58 | 0.37 | 1.6E-12 | |
| 3 dB | 2.00 | 0.50 | 2.0E-12 | |
| 4 dB | 2.51 | 0.60 | 2.5E-12 | |
| 5 dB | 3.16 | 0.68 | 3.2E-12 | |
| 6 dB | 3.98 | 0.75 | 4.0E-12 | |
| 7 dB | 5.01 | 0.80 | 5.0E-12 | |
| 8 dB | 6.31 | 0.84 | 6.3E-12 | |
| 9 dB | 7.94 | 0.87 | 7.9E-12 | |
| 10 dB | 10.0 | 0.90 | 1.0E-11 | soft rustling Leaves |
| 11 dB | 12.6 | 0.92 | 1.3E-11 | |
| 12 dB | 15.8 | 0.94 | 1.6E-11 | |
| 13 dB | 20 | 0.95 | 2.0E-11 | |
| 14 dB | 25 | 0.96 | 2.5E-11 | |
| 15 dB | 31 | 0.97 | 3.2E-11 | |
| 16 dB | 39 | 0.97 | 4.0E-11 | |
| 17 dB | 50 | 0.98 | 5.0E-11 | |
| 18 dB | 63 | 0.98 | 6.3E-11 | |
| 19 dB | 79 | 0.99 | 7.9E-11 | |
| 20 dB | 100 | 0.99 | 1.0E-10 | Whisper, very quiet room |
| 30 dB | 1000 | 1.00 | 1.0E-09 | |
| 40 dB | 10,000 | 1.00 | 1.0E-08 | library, quiet residential area |
| 50 dB | 100,000 | 1.00 | 1.0E-07 | Regrigerator, large office |
| 60 dB | 1,000,000 | 1.00 | 1.0E-06 | Normal conversation, washing machine |
| 70 dB | 10,000,000 | 1.00 | 1.0E-05 | Busy Street, television |
| 75 dB | 31,622,777 | 1.00 | 3.2E-05 | alarm clock, average city street |
| 80 dB | 100,000,000 | 1.00 | 1.0E-04 | Vacuum Cleaner, doorbell, telephone, moderate stereo |
| 85 dB | 316,227,766 | 1.00 | 3.2E-04 | food mixer, heavy traffic |
| 90 dB | 1,000,000,000 | 1.00 | 1.0E-03 | tractor, electric drill, shout, loud stereo |
| 100 dB | 10,000,000,000 | 1.00 | 1.0E-02 | Orchestra, Walkman at max, factory machinery, motorcycle |
| 110 dB | 100,000,000,000 | 1.00 | 1.0E-01 | disco, baby crying, leafblower, car horn |
| 120 dB | 1,000,000,000,000 | 1.00 | 1.0E+00 | chain saw, jet plane, ambulance siren, rock concert, pain |
| 130 dB | 10,000,000,000,000 | 1.00 | 1.0E+01 | jackhamer |
| 140 dB | 100,000,000,000,000 | 1.00 | 1.0E+02 | Jet aircraft |
| 150 dB | 1,000,000,000,000,000 | 1.00 | 1.0E+03 | baloon pop |
| 160 dB | 10,000,000,000,000,000 | 1.00 | 1.0E+04 | Perforation of Eardrum, gun, fireworks at 3 feet |
| 170 dB | 100,000,000,000,000,000 | 1.00 | 1.0E+05 | shotgun |
| 177 dB | 501,187,233,627,273,000 | 1.00 | 5.0E+05 | record for car audio |
| 180 dB | 1,000,000,000,000,000,000 | 1.00 | 1.0E+06 | Apollo Rocket at pad |
| 194 dB | 25,118,864,315,095,800,000 | 1.00 | 2.5E+07 | Maximum possible (from atmospheric 14.7psi down to 0psi) |

