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It has been investigated the possibility of the various atmospheres overwater oceans. We have considered the H$_2$ atmosphere and He atmosphereconcerning to N$_2$ atmosphere over oceans. One of the main subjects inastrobiology is to estimate the habitable zone. If there is an ocean on theplanet with an atmosphere, there is an upper limit to the outgoing infraredradiation called the Komabayashi-Ingersoll limit (KI-limit). This limit dependson the components of the atmospheres. We have investigated this dependenceunder the simple model, using the one-dimensional gray radiative-convectiveequilibrium model adopted by Nakajima et al. (1992). The outgoing infraredradiation ($F_{IRout}$) with the surface temperature ($T_s$) has shown somepeculiar behavior. The examples for H$_2$, He, and N$_2$ background gas forH$_2$O vapour are investigated. There is another limit called theSimpson-Nakajima limit (SN-limit) mainly composed of vapour. This steam limitdoes not depend on the background atmosphere components. Under super-Earth case($g=2\times$9.8 m/s$^2$), several cases are also calculated. The KI-limitdependence on the initial pressure is presented. The various emission rates byKoll & Cronin (2019) are investigated.

A Note on the "Various Atmospheres over Water Oceans on Terrestrial Planets with a One-Dimensional Radiative-Convective Equilibrium Model