“…The most used non-linear isotherms are those of Freundlich and Langmuir, in which the percentage of adsorbed ion decreases as ion concentration increases. Soil science employs widely used phosphorus, zinc, selenium, and cadmium ion representations (Rennie and McKercher, 1959;Weir and Soper, 1962;John, 1972;Al-Kanani and MacKenzie, 1991;Dhillon and Dhillon, 1999;Lewis and McGechan, 2002;Mesquita and Vieira e Silva, 2002;Wang and Harrell, 2005;Bolster, 2008) while on the contrary, few isotherm representations exist in agricultural models to simulate ammonium exchange and fixation, and only in a few cases do they account for soil water content and temperature effects (e.g., Cameron and Kowalenko, 1976;Kowalenko and Cameron, 1976;Stöckle and Nelson, 2014). Frissel and Van Veen (1978) used a different approach and represented fixation using a reversible first-order kinetic reaction between fixed and soluble forms; however, no exchangeable form representation was done.…”