107:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Física:@0.840817:0.956142:0.879897:0.956142:0.879897:0.943479:0.840817:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748005:0.068322:0.791649:0.068322:0.791649:0.048070:0.748005:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con estos antecedentes, en el año 1900, otro científico llamado Max Planck (Alema-:@0.096359:0.100406:0.712559:0.100406:0.712559:0.084017:0.096359:0.084017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nia, 1858-1947), al querer descifrar por qué algunos cuerpos cambian de color al ca-:@0.096359:0.116753:0.712579:0.116753:0.712579:0.100364:0.096359:0.100364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lentarse, y con la ayuda de los avances de Lenard, descubre una constante que :@0.096359:0.133100:0.716595:0.133100:0.716595:0.116711:0.096359:0.116711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite calcular la energía de la luz, pero con un artificio matemático. ‘Solo’ consigue :@0.096359:0.149448:0.716573:0.149448:0.716573:0.133059:0.096359:0.133059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular la energía de la luz, pero en pequeños pulsos no continuos, a los que llamó :@0.096359:0.165795:0.716585:0.165795:0.716585:0.149406:0.096359:0.149406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuantos. Enuncia, entonces, la constante de Planck para calcular la energía de un :@0.096359:0.182143:0.716484:0.182143:0.716484:0.165754:0.096359:0.165754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuanto o fotón, que depende de la frecuencia de radiación::@0.096359:0.198490:0.530013:0.198490:0.530013:0.182101:0.096359:0.182101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E = h·:@0.379541:0.235519:0.420267:0.235519:0.420267:0.219130:0.379541:0.219130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ν:@0.420265:0.235205:0.427686:0.235205:0.427686:0.220306:0.420265:0.220306:0.000000
E es la energía, h la constante de Planck y ν la frecuencia de la radiación.:@0.096359:0.268894:0.620528:0.268894:0.620528:0.252505:0.096359:0.252505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h = 6,626 10  J·s.:@0.340113:0.303497:0.467404:0.303497:0.467404:0.287108:0.340113:0.287108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-34:@0.430241:0.297450:0.443928:0.297450:0.443928:0.287895:0.430241:0.287895:0.000000:0.000000:0.000000
Un año después, Planck explicó el espectro de emisión de un cuerpo negro. Esta, lla-:@0.096359:0.339313:0.712485:0.339313:0.712485:0.322924:0.096359:0.322924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mada ley de Planck, es la primera propuesta de un principio propiamente cuántico :@0.096359:0.355660:0.716484:0.355660:0.716484:0.339271:0.096359:0.339271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que, dicho sea de paso, fue muy criticado ya que contradecía las leyes de la física clá-:@0.096359:0.372008:0.712412:0.372008:0.712412:0.355619:0.096359:0.355619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sica que no podía explicar estos fenómenos.:@0.096359:0.388355:0.420109:0.388355:0.420109:0.371966:0.096359:0.371966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ley de Planck describe las proporciones de energía emitida por un cuerpo negro :@0.096359:0.411825:0.716484:0.411825:0.716484:0.395436:0.096359:0.395436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en distintas longitudes de onda a una temperatura definida. :@0.096359:0.428173:0.539428:0.428173:0.539428:0.411784:0.096359:0.411784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A medida que la temperatura va en aumento, el color del cuerpo cambia del rojo al :@0.096359:0.451643:0.716613:0.451643:0.716613:0.435254:0.096359:0.435254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
amarillo y al azul. Estos cambios se describen teóricamente mediante el espectro :@0.096359:0.467990:0.716556:0.467990:0.716556:0.451601:0.096359:0.451601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
electromagnético. :@0.096359:0.484337:0.233920:0.484337:0.233920:0.467949:0.096359:0.467949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ley de Planck se describe matemáticamente mediante la siguiente ecuación::@0.097428:0.844147:0.676970:0.844147:0.676970:0.827758:0.097428:0.827758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I v:@0.300591:0.885948:0.319668:0.885948:0.319668:0.868764:0.300591:0.868764:0.000000:0.000000:0.000000
( ):@0.306199:0.885828:0.326021:0.885828:0.326021:0.868613:0.306199:0.868613:0.000000:0.000000:0.000000
=:@0.326664:0.885797:0.342304:0.885797:0.342304:0.867647:0.326664:0.867647:0.000000
2:@0.344717:0.876443:0.353582:0.876443:0.353582:0.859228:0.344717:0.859228:0.000000
hv:@0.354245:0.876564:0.371996:0.876564:0.371996:0.859379:0.354245:0.859379:0.000000:0.000000
3:@0.372941:0.868056:0.378066:0.868056:0.378066:0.858103:0.372941:0.858103:0.000000
c:@0.354827:0.897656:0.362325:0.897656:0.362325:0.880472:0.354827:0.880472:0.000000
2:@0.363045:0.889155:0.368171:0.889155:0.368171:0.879202:0.363045:0.879202:0.000000
1:@0.440054:0.876437:0.448920:0.876437:0.448920:0.859222:0.440054:0.859222:0.000000
exp(:@0.387124:0.897529:0.421138:0.897529:0.421138:0.880314:0.387124:0.880314:0.000000:0.000000:0.000000:0.000000
hv kT:@0.421097:0.897650:0.469646:0.897650:0.469646:0.880465:0.421097:0.880465:0.000000:0.000000:0.000000:0.000000:0.000000
/:@0.441502:0.897529:0.448096:0.897529:0.448096:0.880314:0.441502:0.880314:0.000000
) 1:@0.471033:0.897529:0.503137:0.897529:0.503137:0.880314:0.471033:0.880314:0.000000:0.000000:0.000000
−:@0.478471:0.897499:0.494111:0.897499:0.494111:0.879349:0.478471:0.879349:0.000000
 :@0.505377:0.920979:0.509413:0.920979:0.509413:0.904590:0.505377:0.904590:0.000000
,:@0.509413:0.905890:0.512619:0.905890:0.512619:0.889501:0.509413:0.889501:0.000000
cuanto.:@0.755539:0.177557:0.807287:0.177557:0.807287:0.162445:0.755539:0.162445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Del latín :@0.807287:0.177557:0.869723:0.177557:0.869723:0.162658:0.807287:0.162658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quantum, cantidad :@0.755539:0.192645:0.886710:0.192645:0.886710:0.177746:0.755539:0.177746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indivisible de energía, :@0.755539:0.207733:0.903645:0.207733:0.903645:0.192834:0.755539:0.192834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcional a la :@0.755539:0.222820:0.871164:0.222820:0.871164:0.207921:0.755539:0.207921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frecuencia del campo al :@0.755539:0.237908:0.918439:0.237908:0.918439:0.223009:0.755539:0.223009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se asocia.:@0.755539:0.252995:0.847610:0.252995:0.847610:0.238096:0.755539:0.238096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fotón.:@0.755539:0.271641:0.796817:0.271641:0.796817:0.256528:0.755539:0.256528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Palabra derivada :@0.796817:0.271641:0.913981:0.271641:0.913981:0.256742:0.796817:0.256742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del griego que significa :@0.755539:0.286729:0.914970:0.286729:0.914970:0.271830:0.755539:0.271830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luz. El físico Gilbert N. :@0.755539:0.301816:0.900362:0.301816:0.900362:0.286917:0.755539:0.286917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lewis, en 1926, denominó :@0.755539:0.316904:0.933165:0.316904:0.933165:0.302005:0.755539:0.302005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así al quanto de luz. Esta :@0.755539:0.331992:0.920800:0.331992:0.920800:0.317093:0.755539:0.317093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partícula no posee masa :@0.755539:0.347079:0.922376:0.347079:0.922376:0.332180:0.755539:0.332180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ni carga eléctrica.:@0.755539:0.362167:0.871129:0.362167:0.871129:0.347268:0.755539:0.347268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
espectro.:@0.755539:0.380813:0.819332:0.380813:0.819332:0.365700:0.755539:0.365700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Una imagen o :@0.819332:0.380813:0.921036:0.380813:0.921036:0.365914:0.819332:0.365914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una representación :@0.755539:0.395900:0.888369:0.395900:0.888369:0.381001:0.755539:0.381001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfica de un fenómeno :@0.755539:0.410988:0.919711:0.410988:0.919711:0.396089:0.755539:0.396089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
físico que no puede ser :@0.755539:0.426075:0.914720:0.426075:0.914720:0.411176:0.755539:0.411176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observado.:@0.755539:0.441163:0.829332:0.441163:0.829332:0.426264:0.755539:0.426264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuerpo negro.:@0.755539:0.459809:0.853019:0.459809:0.853019:0.444696:0.755539:0.444696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Se :@0.853019:0.459809:0.876339:0.459809:0.876339:0.444910:0.853019:0.444910:0.000000:0.000000:0.000000:0.000000
denomina así a un objeto :@0.755539:0.474896:0.925660:0.474896:0.925660:0.459997:0.755539:0.459997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotético que, :@0.755539:0.489984:0.858280:0.489984:0.858280:0.475085:0.755539:0.475085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teóricamente, absorbe :@0.755539:0.505072:0.906510:0.505072:0.906510:0.490173:0.755539:0.490173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
toda la radiación emitida :@0.755539:0.520159:0.920433:0.520159:0.920433:0.505260:0.755539:0.505260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia él y que, a su vez, no :@0.755539:0.535247:0.929312:0.535247:0.929312:0.520348:0.755539:0.520348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
refleja ni emite luz.:@0.755539:0.550334:0.876475:0.550334:0.876475:0.535435:0.755539:0.535435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.762144:0.145115:0.898205:0.145115:0.898205:0.128215:0.762144:0.128215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Muchas de las :@0.755006:0.677230:0.852958:0.677230:0.852958:0.662331:0.755006:0.662331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
poblaciones amerindias :@0.755006:0.692318:0.917603:0.692318:0.917603:0.677419:0.755006:0.677419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del Ecuador se :@0.755006:0.707405:0.855856:0.707405:0.855856:0.692506:0.755006:0.692506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentran en zonas que :@0.755006:0.722493:0.928526:0.722493:0.928526:0.707594:0.755006:0.707594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tienen conexión con el :@0.755006:0.737581:0.933235:0.737581:0.933235:0.722682:0.755006:0.722682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema eléctrico nacional. :@0.755006:0.752668:0.933449:0.752668:0.933449:0.737769:0.755006:0.737769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los proyectos de energía :@0.755006:0.767756:0.925510:0.767756:0.925510:0.752857:0.755006:0.752857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
renovable pueden ser una :@0.755006:0.782843:0.933754:0.782843:0.933754:0.767944:0.755006:0.767944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución.:@0.755006:0.797931:0.814393:0.797931:0.814393:0.783032:0.755006:0.783032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga y responde:  :@0.755006:0.816577:0.881251:0.816577:0.881251:0.801703:0.755006:0.801703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué relación existe entre  :@0.755006:0.831664:0.918456:0.831664:0.918456:0.816791:0.755006:0.816791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el efecto fotoeléctrico  :@0.755006:0.846752:0.895036:0.846752:0.895036:0.831878:0.755006:0.831878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la producción  :@0.755006:0.861840:0.858384:0.861840:0.858384:0.846966:0.755006:0.846966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de energía solar?:@0.755006:0.876927:0.861014:0.876927:0.861014:0.862053:0.755006:0.862053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cívica:@0.819086:0.644788:0.863937:0.644788:0.863937:0.627887:0.819086:0.627887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10 :@0.577292:0.701951:0.597459:0.701951:0.597459:0.686486:0.577292:0.686486:0.000000:0.000000:0.000000
–5:@0.597442:0.695948:0.607760:0.695948:0.607760:0.686933:0.597442:0.686933:0.000000:0.000000
10 :@0.474134:0.701951:0.494301:0.701951:0.494301:0.686486:0.474134:0.686486:0.000000:0.000000:0.000000
–6:@0.494284:0.695948:0.504602:0.695948:0.504602:0.686933:0.494284:0.686933:0.000000:0.000000
10 :@0.370984:0.701951:0.391151:0.701951:0.391151:0.686486:0.370984:0.686486:0.000000:0.000000:0.000000
–7:@0.391132:0.695948:0.401451:0.695948:0.401451:0.686933:0.391132:0.686933:0.000000:0.000000
10 :@0.275089:0.701180:0.295255:0.701180:0.295255:0.685715:0.275089:0.685715:0.000000:0.000000:0.000000
–8:@0.295238:0.695178:0.305557:0.695178:0.305557:0.686162:0.295238:0.686162:0.000000:0.000000
10 :@0.253004:0.686965:0.273171:0.686965:0.273171:0.671500:0.253004:0.671500:0.000000:0.000000:0.000000
4:@0.273152:0.680964:0.277840:0.680964:0.277840:0.671948:0.273152:0.671948:0.000000
10 :@0.253004:0.651793:0.273171:0.651793:0.273171:0.636328:0.253004:0.636328:0.000000:0.000000:0.000000
6:@0.273152:0.645791:0.277840:0.645791:0.277840:0.636775:0.273152:0.636775:0.000000
10 :@0.253004:0.610280:0.273171:0.610280:0.273171:0.594815:0.253004:0.594815:0.000000:0.000000:0.000000
8:@0.273152:0.604276:0.277840:0.604276:0.277840:0.595260:0.273152:0.595260:0.000000
10 :@0.250659:0.570980:0.270825:0.570980:0.270825:0.555515:0.250659:0.555515:0.000000:0.000000:0.000000
10:@0.270808:0.564978:0.280185:0.564978:0.280185:0.555962:0.270808:0.555962:0.000000:0.000000
10 :@0.250659:0.529556:0.270825:0.529556:0.270825:0.514091:0.250659:0.514091:0.000000:0.000000:0.000000
12:@0.270808:0.523554:0.280185:0.523554:0.280185:0.514538:0.270808:0.514538:0.000000:0.000000
3 .10  K:@0.453920:0.554183:0.508838:0.554183:0.508838:0.538718:0.453920:0.538718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4  :@0.489335:0.548180:0.498785:0.548180:0.498785:0.539164:0.489335:0.539164:0.000000:0.000000:0.000000
1,5 .10   K:@0.498146:0.582634:0.563606:0.582630:0.563606:0.567166:0.498146:0.567170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.544759:0.576628:0.549447:0.576628:0.549447:0.567612:0.544759:0.567612:0.000000
10  K:@0.517402:0.599646:0.554675:0.599093:0.554249:0.583631:0.516975:0.584184:0.000000:0.000000:0.000000:0.000000:0.000000
4 :@0.537381:0.593346:0.544449:0.593241:0.544200:0.584227:0.537132:0.584332:0.000000:0.000000
7000 K:@0.539931:0.614768:0.586255:0.614768:0.586255:0.599303:0.539931:0.599303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5500 K:@0.558010:0.631738:0.604334:0.631738:0.604334:0.616273:0.558010:0.616273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4000 K:@0.569373:0.646723:0.615697:0.646723:0.615697:0.631258:0.569373:0.631258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3000 K:@0.575962:0.660589:0.622287:0.660589:0.622287:0.645125:0.575962:0.645125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ :@0.442599:0.725232:0.457103:0.725232:0.457103:0.710233:0.442599:0.710233:0.000000:0.000000
(m):@0.457103:0.725005:0.482498:0.725005:0.482498:0.709541:0.457103:0.709541:0.000000:0.000000:0.000000
B:@0.236593:0.653814:0.236593:0.647154:0.215518:0.647154:0.215518:0.653814:0.000000
λ:@0.240682:0.647154:0.240682:0.642891:0.228766:0.642891:0.228766:0.647154:0.000000
 :@0.236901:0.642892:0.236901:0.639562:0.216462:0.639562:0.216462:0.642892:0.000000
(W:@0.236593:0.639562:0.236593:0.624124:0.215518:0.624124:0.215518:0.639562:0.000000:0.000000
μ:@0.236901:0.624124:0.236901:0.616452:0.216462:0.616452:0.216462:0.624124:0.000000
–2 :@0.228412:0.616450:0.228412:0.607131:0.216126:0.607131:0.216126:0.616450:0.000000:0.000000:0.000000
μ:@0.236901:0.607139:0.236901:0.599467:0.216462:0.599467:0.216462:0.607139:0.000000
m:@0.236593:0.599467:0.236593:0.589117:0.215518:0.589117:0.215518:0.599467:0.000000
–1 :@0.228412:0.589115:0.228412:0.579796:0.216126:0.579796:0.216126:0.589115:0.000000:0.000000:0.000000
sr:@0.236593:0.579804:0.236593:0.570947:0.215518:0.570947:0.215518:0.579804:0.000000:0.000000
–1:@0.228412:0.570947:0.228412:0.563375:0.216126:0.563375:0.216126:0.570947:0.000000:0.000000
):@0.236593:0.563375:0.236593:0.559233:0.215518:0.559233:0.215518:0.563375:0.000000
B   radiación espectral:@0.164968:0.717370:0.285435:0.717370:0.285435:0.705064:0.164968:0.705064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.172192:0.719759:0.176815:0.719759:0.176815:0.712801:0.172192:0.712801:0.000000
W vatio:@0.164968:0.730090:0.207378:0.730090:0.207378:0.717783:0.164968:0.717783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
μ :@0.164968:0.742989:0.176899:0.742989:0.176899:0.731054:0.164968:0.731054:0.000000:0.000000
micra:@0.176899:0.742809:0.208159:0.742809:0.208159:0.730503:0.176899:0.730503:0.000000:0.000000:0.000000:0.000000:0.000000
sr estereorradián (unidad del ángulo sólido):@0.164968:0.755529:0.400303:0.755529:0.400303:0.743223:0.164968:0.743223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 5.1. Representación del espectro electromagnético de la radiación de cuerpo negro a  :@0.096359:0.795707:0.653258:0.795707:0.653258:0.782298:0.096359:0.782298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferentes longitudes de onda.:@0.096359:0.808279:0.279455:0.808279:0.279455:0.794869:0.096359:0.794869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000