The scale problem is the main challenge of Earth observation, and it is also the core issue that has been receiving attention in remote sensing science. A lot of basic theoretical research and scientific verification work have been done on this, and many core issues related to remote sensing standards have been discussed and solved. In remote sensing content, scaling issues including emissivity and temperature measurements are more reliable and less affected by the Earth’s atmosphere. At the same time, with the continuous update of the Diviner thermal radiation detector's monthly surface measurement data, the specific research and quantitative description of emissivity scaling problems in mixed pixels has gradually become possible. Based on Diviner's thermal infrared measurement data on the moon's surface, the thermal infrared emissivity of the moon landing area or moon landing point of Apollo 15 at different scales was studied under the premise of full study and analysis of Diviner data characteristics and emissivity calculation methods. Based on the definition of mixed-cell emissivity, two problems of emissivity scaling and scale effect in mixed pixels are analyzed and studied. From the emissivity numerical point of view, the general rules of scaling and scaling effects are discussed and verified. The given quantitative descriptions are hoped to provide theoretical support and experimental evidence for research on issues such as scale transformation and scale effects.