The relationship between absorbtion, emissivity and reflection

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The discussion centers on the relationship between absorption, emissivity, and reflectivity, highlighting that the absorption coefficient of a material's surface equals its emissivity, as stated by Kirchhoff's law of thermal radiation. The equation emissivity + reflectivity + transmissibility = 1 is presented as a general principle applicable to thermal radiation. It raises questions about whether this relationship holds for all types of radiation or is limited to thermal "black-body" radiation. Additionally, the distinction between initial transmissibility and the attenuation of transmitted radiation within the material is explored, emphasizing the conservation of energy. Overall, the conversation seeks to clarify the fundamental principles governing these interactions in thermal and possibly other forms of radiation.
swampwiz
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As I understand it, the absorption coefficient of a surface of material is the same as its emissivity (due to Kirchoff's law of thermal radiation), and that the net of this and the tranmissibility is

emissivity + reflectivity + transmissibility = 1

Is this a general statement about any radiation, or only about thermal "black-body" radiation?

I presume that the tranmissibility is the initial transmissibility of the surface, since once inside the body of the material, there is absorbtion, which is termed attenuation, in which the transmitted radiation is slowly absorbed as it goes through the body. How are these 2 forms of absorbtion related?
 
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That is a general statement, and a consequence of conservation of energy.
 

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