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Superposition and Spectra Physics 11
Multiple wavesWe now understand the very basics of waves but reality usually does not involve one just one wave.Multiple radio stations transmitting into the roomWaves on the surface of a pool as people are jumping inWhite light (it is a composite of waves in the EM spectrum)So what doe these waves look like?
SuperpositionSuperimpose two waves together.Add them togetherFor each value of x, add the value of each wave to get a resultant
Real Waves are SuperpositionsThis means that real waves have a number of waves adding together to make them up.Each part having a different wavelength
The wavelengths that are used to construct a complex wave are referred to as a Spectrum (plural, Spectra)
Spectrum GraphsReal waves are composed of many componentsTo keep track of what wavelengths are used, a simple chart is often made.Consider the emission spectrum of HydrogenIt tells us what wavelengths are present, indicating the wavelength qualitatively with the color of lightHydrogen
Intensity SpectraSpectra plots can include information about amplitude at each wavelengthConsider these plots made for common white light sources
Chart2
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3105.6062274.938837.9243706.617603.922
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3122.6062294.3382011.9243818.617598.122
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2993.3592464.052946.637599.394511.54
3027.9062466.938956.524532.817507.322
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2819.5062669.3381163.72434.017380.722
2789.4592673.6531153.03731.594372.14
2756.8062701.9381171.72430.417368.522
2693.1592682.6531172.23730.594359.94
2686.0062684.3381166.72429.217351.922
2737.0592688.4531186.23730.194356.34
2726.0062666.9381165.72429.417343.722
2767.2592704.6531195.63728.794340.74
2739.9062693.7381189.72427.217332.322
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2623.6062716.7381185.92427.617325.522
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2568.4062730.3381194.52428.217318.122
2575.2592720.8531194.03728.594313.14
2577.9062749.9381192.32427.217312.922
2544.3592719.2521192.63726.794299.34
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2481.9592734.6531191.83725.394303.54
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2529.9592783.8531216.23728.194289.74
2565.1062789.9381214.52430.617285.122
2591.0592798.0521216.03731.394274.14
2592.0062789.7381213.32432.217268.922
2590.2592801.6531228.03734.994269.34
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2586.7592821.0521217.83742.994266.14
2581.6062820.1381219.72444.417257.122
2555.1592825.6531227.43746.194257.94
2535.7062834.7381234.92447.617250.922
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2490.7062856.9381232.12454.617246.922
2519.0592870.6531262.03773.794250.54
2516.5062874.9381301.524115.017249.122
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2520.6062904.7381530.924298.417226.122
2491.7592911.2521342.837222.194220.54
2454.0062890.5381314.524207.217217.122
2454.6592914.4531457.037287.194217.74
2474.4062917.9381755.124446.817219.322
2489.0592924.0521754.237510.394205.54
2501.4062922.9381471.124448.817207.722
2522.3592917.4531313.037428.594198.74
2551.4062947.3381278.324435.217204.322
2526.1592946.4531241.237397.994197.54
2531.4062948.5381215.124351.217190.322
2561.4592985.2521229.837354.394198.94
2565.5062979.9381220.724358.617205.322
2589.1592984.2521215.637386.994223.34
2600.1062996.1381209.724422.817288.322
2597.3593006.8531210.437489.794371.94
2582.1062993.3381210.524571.017375.122
2581.8593013.2521213.437635.394307.54
2578.0063022.7381208.924670.217249.322
2582.3593033.2521210.237666.794209.94
2547.2063030.9381198.724645.017181.322
2542.5593043.0521186.637610.394166.54
2496.2063021.9381180.724564.617166.522
2472.9593069.4531190.237535.794173.14
2462.9063079.5381187.724533.017187.122
2472.7593081.4531194.437556.594225.14
2444.3063054.3381177.324637.217289.322
2461.4593101.6531194.237790.794337.34
2441.0063086.9381181.324898.817324.322
2361.7593095.6531166.437888.394270.14
2263.1063098.3381168.724820.417238.922
2146.9593137.2521171.437738.394238.94
1969.7063110.7381156.924650.217262.522
1881.0593131.2521161.237585.594255.34
1870.1063123.7381143.724538.617220.122
1936.2593156.2521151.437524.194185.94
2024.7063130.1381126.724493.617162.522
2124.7593176.8531135.637476.594157.54
2129.6063140.9381120.724446.617144.722
2125.3593166.2521120.437420.594143.94
2095.8063165.7381109.324408.417139.522
2074.7593180.4531106.437412.994139.54
2093.7063182.7381100.524434.217134.122
2170.9593219.6531103.637477.994133.74
2194.0063199.9381091.524520.217129.522
2210.1593192.6531086.837502.794133.74
2173.8063209.3381069.124444.417154.322
2101.0593227.0521082.637373.194220.34
2011.0063211.9381068.924299.617373.722
2027.7593215.8531081.637249.794621.54
2080.2063213.5381050.724210.017757.322
2125.2593229.0521040.037184.794698.74
2162.2063246.5381046.524168.417614.722
2190.7593254.8531035.837164.394610.14
2191.9063271.1381034.724163.417553.322
2152.2593250.0521020.237152.994394.54
2170.6063268.9381020.724157.017277.522
2187.6593282.6531014.637162.794204.74
2159.4063266.538994.124175.217155.322
2168.2593258.052989.637191.394126.74
2179.6063264.738986.124223.217116.322
2191.6593280.853985.837259.794114.34
2203.4063289.938971.524280.017110.522
2209.3593281.052965.237288.194109.54
2207.0063287.338952.324269.617111.522
2209.8593298.653956.037236.994105.54
2198.5063289.338940.524212.217104.922
2201.5593308.052936.437169.99498.94
2207.4063297.138926.124147.81796.722
2197.7593332.252919.637131.59491.74
2190.2063333.338916.324113.01789.322
2200.3593321.653907.037101.79485.34
2230.2063337.938904.92495.41787.522
2257.4593338.453900.23792.59486.14
2246.2063328.538883.12491.41785.122
2261.4593366.052887.83796.19482.34
2252.0063351.738885.32498.21781.722
2259.3593355.853875.037103.19481.34
2244.1063357.138869.524107.21780.922
2235.8593360.252856.037108.39476.14
2207.4063368.138835.524114.01776.522
2223.1593365.252842.037122.79474.54
2206.0063381.938826.924126.01773.722
2204.4593378.052815.637141.99475.54
2208.7063372.338815.324159.61777.722
2185.4593365.453807.437169.79480.94
2154.8063355.738794.924193.21781.722
2163.9593396.853809.837229.99488.74
2149.5063401.338784.124270.21784.522
2154.1593404.252787.637332.79484.34
2144.3063401.738780.324420.81785.922
2144.6593404.052767.037558.79485.74
2130.5063428.338750.724789.21784.922
2076.7593398.853749.0371208.79490.14
2089.2063393.938746.3241932.01792.722
2130.0593422.653741.8372951.594103.14
2104.9063410.538728.5243659.017106.122
2100.7593412.653728.8373649.194110.94
2069.7063419.538714.1243137.217108.722
2049.9593405.252705.4372530.194105.94
2062.4063435.138701.7242054.617105.322
2057.1593419.853688.6371671.594104.94
2024.7063426.338683.1241382.21796.722
1997.7593425.453680.0371208.59497.54
1998.9063419.538672.7241110.01794.122
2011.1593400.252662.8371048.194100.94
2022.9063408.338664.924975.817114.322
2037.2593435.252672.437889.594155.74
1978.9063407.138636.724766.817215.322
1961.0593435.252640.437671.994378.54
1899.1063398.138625.724578.217706.122
1907.2593424.453621.837506.9941236.14
1906.4063416.538618.724471.0171653.322
1921.6593415.453609.437439.5941576.54
1948.5063420.738605.724420.2171158.122
1959.9593427.653590.437394.394773.94
1966.7063438.338588.124389.617520.122
1965.2593459.653584.037398.194335.54
1944.3063454.938571.724415.817220.322
1938.5593460.853573.637438.994161.14
1958.0063450.138565.924465.017147.322
1956.9593462.052556.237495.194160.14
1965.9063449.138559.524519.617183.322
1937.6593436.853539.837517.994206.54
1921.2063448.938541.524509.417227.922
1906.9593463.052537.437489.794243.14
1878.6063459.538528.124473.417245.122
1892.3593478.853528.437448.994250.94
1883.7063476.938512.124420.017242.322
1857.1593450.853508.637381.394241.94
1844.2063473.138513.124359.417242.922
1852.8593473.453523.237351.794262.14
1844.9063481.338498.724333.217293.522
1811.0593478.453491.237325.594384.54
1798.1063476.738486.524316.617551.922
1805.2593509.252514.237312.594851.34
1768.5063479.938469.524282.8171296.922
1758.2593471.853468.037263.5941911.54
1766.8063479.338464.124242.0172580.322
1777.9593491.653451.437221.3943170.74
1776.7063486.138460.324216.8173416.722
1743.5593467.653446.437205.1943186.34
1712.1063518.938448.124202.8172643.922
1626.4593469.653431.437197.3941909.94
1600.6063474.738428.324192.4171274.322
1653.6593505.853424.437193.794837.14
1678.5063518.538431.324202.417577.122
1661.0593498.653414.037199.794422.94
1663.8063513.538411.124211.817377.522
1647.2593501.453403.837233.794374.34
1651.0063520.938404.524272.817392.322
1672.5593510.853399.437333.994406.34
1685.6063508.138387.724395.617405.722
1666.5593526.052386.637412.194382.54
1612.4063511.938382.724371.217344.922
1611.4593509.252374.437299.194293.14
1639.2063522.938375.524229.617242.122
1669.1593521.853382.037177.594206.74
1657.1063497.938362.324127.217172.122
1657.9593516.853362.637103.394148.14
1638.6063503.938356.32482.217133.122
1640.5593525.653357.83771.194118.94
1652.0063529.738341.12462.017101.722
1653.2593539.653353.83760.39491.54
1687.3063534.738362.92461.41787.322
1672.0593550.252342.63754.59470.74
1652.5063550.538329.52450.41758.922
1630.8593541.453323.43746.79450.94
1631.1063556.538325.52445.61743.122
1643.0593523.252322.43743.19439.34
1667.5063556.538322.52442.01737.322
1667.2593544.252318.43741.59433.94
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69.706862.53811.52411.0172.322
70.859843.65211.23711.1942.34
72.306840.5389.52411.0171.722
72.359840.0529.23711.7941.74
71.606836.5388.72411.4171.922
76.359846.45211.03712.1941.54
67.906824.33810.92412.0172.122
69.959836.65213.23711.9941.94
64.106819.33812.32411.6172.322
64.259818.65211.63711.7941.94
69.006813.13811.92411.8171.922
67.759817.85212.23712.1942.34
68.706822.73810.32410.8171.922
67.859812.05211.03711.1941.74
65.906808.5389.32410.4171.722
69.159816.25311.23711.1941.74
68.906805.53811.52411.2171.722
75.059797.65215.23711.3941.94
75.706804.13819.52411.8172.122
65.459786.05220.03712.5942.74
60.406790.13815.72411.6172.722
59.059792.65214.43711.7942.54
56.106787.33812.72411.4172.522
54.959792.05212.63711.5942.74
52.706782.33810.72410.6172.322
53.459785.45211.83710.9942.34
49.806783.33811.52410.8172.522
48.659769.45212.43710.7942.54
51.806765.93812.52410.4172.322
47.659775.85212.63710.9942.34
50.206773.53812.72410.6172.322
52.459769.05215.63711.3942.54
56.806767.33821.52412.4172.722
50.559760.65223.63712.9943.14
49.406759.33820.32412.6173.122
44.959758.65217.63712.7943.34
41.906759.73813.32411.4173.322
39.259762.85212.43711.3943.14
38.206758.3389.52410.2172.922
39.259751.6529.83710.1942.54
37.706751.1389.1249.4172.522
38.059739.8529.8379.3942.34
37.206736.5388.5249.2172.122
38.259735.2539.0379.5941.94
39.006743.1388.5249.0172.122
41.759736.45210.4379.5942.14
41.406730.5389.9249.4172.122
40.559726.85210.8379.5941.94
39.506733.3389.9249.2171.522
40.959723.0529.8379.7941.34
43.306729.93810.3249.6171.322
44.359730.25312.8379.9941.54
42.706720.53811.3249.6171.522
42.859710.85211.63710.1941.54
42.706712.93811.5249.8171.322
42.859711.25313.0379.9941.34
44.406710.33811.7249.2171.122
48.459715.05213.43710.1941.14
48.306713.13812.92410.2171.322
50.359699.85213.03710.5941.54
48.706696.53811.32410.4171.322
46.159700.45211.83710.7941.14
43.606699.73810.32410.2171.122
45.459690.05211.03710.5941.14
46.806693.33810.92410.4171.122
47.659682.45212.63711.1940.94
45.306682.13811.32411.2170.922
46.159687.45211.23710.9941.14
45.906675.9389.92410.2171.122
53.959670.85214.23711.3941.54
48.106677.33814.92411.4171.722
46.759670.45214.03711.5941.74
45.106672.73811.72410.8171.722
47.459661.65211.63711.1941.54
48.706654.13811.52410.8171.322
48.659660.65212.83711.5941.74
47.906652.53811.72410.8171.722
50.559654.05212.23711.5941.74
47.406655.93810.32411.0171.522
50.159648.05212.83711.3941.74
46.306652.73812.32411.2171.522
47.659639.05212.43710.9941.74
44.506642.13810.12410.2171.722
47.359634.05210.23710.5941.54
47.906640.7389.72410.4171.322
47.659635.45211.03710.9941.14
50.306630.33810.32410.8171.322
54.459631.05212.63711.3941.34
50.006636.73812.52411.8171.322
50.859622.25313.43711.7941.34
53.506621.93813.32411.8171.322
52.559624.25314.03712.7941.34
48.906623.53811.72411.2171.522
51.259619.05212.63711.5941.34
51.306614.73812.12411.4171.522
50.559616.65212.63711.5941.34
53.306617.93811.72411.0171.322
54.759613.25312.83711.5941.34
54.706606.73811.72411.0171.322
53.559599.65212.43711.3941.14
51.406603.73811.92410.6171.522
50.159603.65212.83711.1941.74
50.706599.33811.32410.8171.522
55.659600.85213.43711.3941.74
50.206590.53812.72411.2171.722
52.359593.05212.43710.9941.54
53.606586.93811.92410.6171.322
57.159591.45214.43711.3941.54
58.706585.13815.32412.0171.722
56.659579.05215.83712.5941.74
54.906579.33814.72412.0171.722
55.759578.85214.83712.1941.74
54.906572.33812.92411.0171.922
53.659559.85212.43710.5941.54
53.106568.7389.7249.4171.522
54.359569.8529.8379.9941.54
55.706569.53810.1249.8171.522
57.159565.25312.03710.1941.34
72.406557.53819.32412.0171.522
61.859559.65220.03713.5941.94
59.106556.33815.12412.8171.922
62.959547.25316.83713.3941.94
61.006543.53816.12413.2171.922
67.959545.05220.63714.1942.34
59.306542.33818.32413.6172.322
59.659536.65215.83713.1942.34
57.406543.33814.52412.2172.522
59.759536.45216.43712.9942.14
56.606530.53814.32412.2172.322
59.259526.45214.23712.3942.14
56.606520.73812.12412.0172.122
60.259518.25312.23712.5941.74
62.006518.13811.92412.2171.722
62.159515.85213.23712.3941.74
57.906518.93811.72411.6171.722
60.859516.25312.03711.5941.74
61.306511.13811.12411.8171.522
63.459512.25312.43712.3941.34
67.906511.13813.12412.6171.722
69.459508.45215.43713.7942.14
65.706501.53814.72413.4171.722
66.259501.45215.03713.7941.94
63.806497.13813.52413.4171.922
65.559495.65214.43713.9941.94
65.306493.13813.32413.8171.722
65.659490.45213.83713.9941.74
77.506488.53818.32415.2171.722
76.659488.85227.63718.3942.14
68.206485.13824.12418.4172.722
63.959485.85218.83717.7942.54
62.606479.93814.52415.8172.122
69.359476.05215.63715.9942.14
68.206471.13814.72416.0172.122
78.659475.85217.43716.7942.14
71.506473.53815.32417.2172.522
71.159465.45214.23717.3942.34
73.306468.53813.12417.0172.322
72.559468.85213.43716.9942.14
72.406462.13811.72416.6172.122
72.859470.45212.03717.3941.94
74.106456.93812.12417.8172.122
78.959466.65215.23719.1941.74
72.706453.73814.52419.8172.122
77.159451.45216.03720.7942.14
68.806447.53814.12420.0171.922
77.859442.65216.63721.3941.74
69.506444.13815.72421.4171.922
70.459448.05215.43721.5941.94
63.606440.73813.32421.4171.522
64.259431.85214.63722.1941.94
63.406433.53814.72423.2171.922
66.659435.45216.03723.9942.14
66.806433.33815.52423.8172.122
67.559429.65215.63724.1942.14
71.006429.33815.72424.6171.722
68.059423.25217.43726.5942.14
68.006420.33815.92426.6171.722
67.759422.65216.23726.5941.94
68.006416.73814.52426.4171.922
99.459419.45239.03733.7942.54
70.406407.53831.92432.6173.722
68.759410.65224.23728.7943.74
68.106406.53819.92426.6173.522
69.659407.85217.23725.5943.34
70.906404.53815.12425.2173.322
68.759398.45215.23725.7942.94
69.506401.13812.12425.0172.522
71.559397.45212.83725.1942.54
71.106393.93813.12425.0172.522
72.859396.45215.63725.9942.54
77.406393.73818.32427.2172.322
72.059387.45218.43726.9942.54
73.506383.73815.32426.0172.522
72.759379.65214.43726.1942.34
75.706378.13813.52426.2172.122
77.559381.85215.63726.3942.34
79.006373.93815.72426.0172.122
76.659379.25216.03725.7942.14
74.106371.13813.12423.8171.922
81.159370.85214.23723.9942.14
79.806367.33814.12423.6172.522
77.159362.05214.43723.7942.14
76.706364.33814.72423.6172.122
79.659361.85216.23723.9942.14
74.406357.93815.32424.0172.322
79.559359.45216.43723.9942.54
76.406352.13814.32423.4172.522
79.359355.65215.43724.3942.34
74.806348.33814.92423.6172.522
74.659352.05214.83723.9942.34
76.406347.53814.12423.0172.522
73.659344.25215.03722.5942.34
72.006339.13813.12421.0172.522
74.759342.85213.23720.3942.14
75.606337.73811.72420.0172.322
78.059337.25212.63720.7942.34
79.206338.33812.72420.6172.122
79.559339.65214.43721.1942.34
80.306330.73814.72421.6172.322
75.659328.85215.63721.3942.14
74.406327.13813.12420.0172.322
76.459327.85212.63720.5942.14
75.306320.93811.52420.0171.922
75.959320.45211.83719.9942.14
80.806318.93811.92419.8172.122
76.459315.25212.83719.3942.34
78.006313.73811.12418.6172.122
77.659306.85211.83719.1942.14
80.906310.33811.32418.6172.122
81.559306.25213.43719.1942.54
80.306309.53814.12419.0172.322
82.859302.25215.63720.1942.74
81.006302.53814.52419.4172.922
76.659301.25214.03718.5942.94
75.106295.73812.32418.0172.922
74.059297.25212.63718.1942.94
74.806298.73811.72417.0172.722
77.659289.65212.63716.9942.54
87.806293.33816.12418.0172.922
80.059287.85218.23718.5943.34
80.906289.73815.12417.4173.122
81.659290.85216.03717.3943.14
77.706284.73813.92417.0172.722
76.659278.85213.83716.5943.14
77.206279.73812.52415.8173.122
77.959275.45213.43716.3942.94
78.606276.93813.32416.0173.122
79.259273.85214.63715.9943.14
78.606271.53813.72415.8173.122
79.259272.05213.83715.7943.14
76.606267.13811.32415.6172.922
76.859268.05213.03715.9943.14
76.506259.93814.12416.0173.322
73.359259.25215.83716.1943.34
77.906258.53817.52416.2173.322
85.559259.85224.43717.5943.74
73.806257.73819.72416.6174.122
77.359254.25217.63715.7943.94
76.706252.53815.52415.2173.722
74.659245.45214.23715.1943.74
73.606247.13811.72413.8173.322
78.959246.25214.03714.3943.34
76.206246.33814.52414.2173.522
78.059246.25216.03714.7943.54
77.306240.53815.92415.0173.722
73.459240.65215.43715.1943.74
69.206236.33812.32414.0173.722
75.659233.85214.03713.9943.74
71.206233.33813.92413.2173.522
70.859232.45214.23713.1943.54
71.906235.33813.72412.8173.522
71.359232.45214.03712.9943.14
70.906230.73813.12412.2173.122
74.159227.05215.63712.5943.34
70.406226.33814.32411.8173.322
72.359224.65215.63711.9943.14
70.006221.93814.92412.0173.122
71.259217.05216.43711.9943.14
69.206218.93814.52411.2173.322
67.859215.65213.23711.3942.74
64.506210.33811.32410.2173.122
68.959213.25212.43710.1942.74
66.706214.13811.3249.2172.722
70.559210.65212.0379.9942.74
80.506215.33818.32410.8172.922
73.559202.65221.63712.1943.34
68.306200.73817.92411.0173.522
71.059207.45217.23710.7943.34
70.206201.93815.32410.2173.322
70.059201.25215.63710.7943.14
70.306202.73816.52410.0173.322
71.259197.45218.43710.5943.54
64.006191.93816.32410.6173.722
71.559195.05219.23710.9943.54
66.006192.53818.12410.8174.322
66.559191.45218.23710.7943.94
65.206189.73815.72410.2174.322
68.359189.85215.2379.9943.94
70.606186.93816.12410.0174.322
72.659185.45220.23710.7944.34
64.306182.93815.92410.0174.522
68.759179.85215.0379.9944.54
70.206184.13815.5249.8174.522
65.059178.65215.0379.7944.34
67.706180.33812.7248.8174.122
66.559176.45212.4378.9943.74
65.606172.73811.1248.2173.522
65.159175.65212.4378.5943.54
72.906171.93814.9248.4173.722
70.359171.85217.2379.1944.14
65.906169.13814.5249.0174.322
69.559170.65216.2379.1944.34
65.706165.73816.9249.2174.122
65.559164.65218.03710.7944.14
69.006162.93819.12411.4174.322
74.559164.45225.83713.5944.54
64.906159.53821.92413.6174.922
70.559160.45222.43714.1945.14
66.906157.13819.92414.2175.122
64.159153.85218.03713.3944.94
71.106157.53820.52413.8174.922
65.659153.65221.23713.5945.14
62.806150.53817.12412.6175.122
62.759148.05217.23711.5944.74
64.706148.93816.52411.0174.922
62.059147.45215.83711.1945.34
62.106144.93812.72410.0174.722
63.559142.25214.0379.9944.54
61.706144.13812.9249.2174.322
62.659145.65213.8379.3944.34
62.606136.93811.9248.8174.122
66.059137.85212.8378.5943.54
65.806138.53813.5248.6173.722
67.059140.05216.8379.1944.14
63.606136.73815.7249.2174.522
62.159139.45215.4378.9944.54
60.506137.93813.7248.0174.322
62.259135.85214.4378.3944.14
61.706133.53814.5247.8174.322
61.559132.05215.0378.5944.54
73.906136.33820.5248.6174.522
63.859132.45222.4379.7945.14
60.306126.93817.12410.0175.122
63.259130.45216.6379.7944.94
61.706121.93814.3248.8174.922
59.559125.25212.8378.5944.74
61.806122.33812.1248.0174.522
62.259118.65214.2378.5944.74
57.706117.73812.1248.0174.522
59.959120.85212.0378.1944.54
58.006117.73810.7247.4174.722
58.259117.25212.0377.5944.34
58.706113.93812.7247.4174.322
60.259116.25214.2378.3944.34
56.606116.33813.5248.0174.122
solar 1
incandecent bulb
flouresent blub
lcd white
crt white
Wavelength (nm)
Relitive intensity (arb units)
Various WL sources
Chart1
Chart1
00000
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-3.841-1.548-4.963-1.0060.34
-4.594-2.062-5.476-1.5830.122
-4.041-1.348-4.563-1.206-0.46
-3.394-1.662-3.876-1.1830.122
0.059-0.948-0.163-0.4060.34
-0.194-0.662-0.476-0.383-0.078
3.4590.8523.2370.1940.14
5.0060.7385.1240.817-0.078
5.2592.2525.4371.594-0.06
4.1062.1384.1241.6170.122
5.4593.2525.2372.3940.14
4.6063.5384.1242.417-0.078
5.4594.2524.4372.794-0.06
4.6064.1383.7242.8170.122
5.9595.0525.0373.194-0.66
5.9064.7385.3243.017-0.278
6.6595.2526.2373.9940.14
5.4064.5384.3243.817-0.078
6.3595.0525.4373.7940.14
5.8064.3384.5244.017-0.478
6.1594.8525.6374.194-0.06
4.8064.3384.5243.8170.122
6.8595.0526.2374.5940.14
11.2064.7384.3243.8170.122
20.1595.6524.6374.3940.14
25.8065.5384.7244.217-0.078
31.5596.4526.4374.594-0.26
33.0066.5386.3244.617-0.078
35.1597.0527.2374.994-0.06
33.6066.5386.1244.4170.122
33.4597.2526.4374.7940.34
32.8066.7384.9244.2170.122
36.0597.8526.0374.394-0.06
34.7067.1386.5244.017-0.078
37.9597.0528.8374.594-0.46
38.5066.7387.5244.417-0.078
42.5597.6528.6374.994-0.06
43.0067.7388.7244.617-0.278
46.0598.65211.2375.5940.14
43.7068.1389.9245.417-0.078
45.3598.65210.0375.9940.34
46.8068.33810.1246.017-0.078
45.7599.05212.2376.594-0.06
42.0068.5389.7246.0170.122
41.6599.2529.4376.1940.14
39.5068.1388.3246.017-0.278
39.2598.6529.6375.994-0.06
41.7068.53810.1246.4170.122
42.7599.45212.4376.9940.34
39.1068.93810.7246.817-0.678
41.4599.45210.0376.794-0.06
48.1068.9389.7246.8170.122
53.6599.65211.8377.594-0.06
55.9069.53812.1247.817-0.078
55.65910.05212.8377.994-0.26
52.0069.53811.5247.617-0.078
49.45910.05211.6377.394-0.06
50.4069.5389.9247.017-0.278
53.25910.05210.4376.994-0.06
54.2069.5388.9246.2170.122
60.95910.4529.4376.7940.34
61.40610.3387.9246.417-0.078
62.55910.8529.4376.3940.14
60.4069.9388.7246.017-0.078
65.85910.05210.0376.194-0.26
69.00610.13811.9245.8170.322
69.75910.85218.4376.3940.14
73.70610.93824.1245.817-0.078
82.25911.85226.4376.394-0.06
81.40610.93820.1246.2170.122
88.45910.85217.2376.794-0.06
80.30610.53813.5246.8170.122
83.15911.25211.6376.594-0.26
84.00611.5388.7245.617-0.278
84.35911.8528.6376.194-0.46
90.40611.9389.5246.017-0.478
87.35913.05213.2377.194-0.06
85.60612.53811.9246.6170.122
95.75912.05212.2377.194-0.06
104.00612.73813.9247.417-0.278
97.75913.45215.0378.194-0.26
93.00612.73812.5247.8170.322
97.65913.65215.4378.394-0.06
96.30613.13813.9248.217-0.278
98.85913.25211.8378.3940.14
92.20612.7389.7247.8170.122
90.45912.85210.2377.5940.34
89.40612.1388.7247.217-0.078
94.05912.6529.4377.594-0.06
86.60612.53810.9247.217-0.278
83.15913.45212.6377.9940.34
92.30613.53811.3247.6170.122
97.95914.65215.4378.3940.14
89.00614.93813.9248.017-0.078
100.45915.45211.8377.9940.14
106.40614.1388.9247.217-0.078
109.25914.4529.0377.5940.14
114.40614.1388.5247.017-0.278
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