The difference between Actual Evapotranspiration (ETa) and Crop Evapotranspiration (ETc) lies in the conditions under which water is available to the plant and the environmental factors influencing water loss:
Actual Evapotranspiration (ETa):ETa refers to the amount of water that is actually lost from the soil-plant system due to evaporation (from the soil) and transpiration (by the plants). It takes into account the actual water availability in the soil, which can be influenced by limited soil moisture, drought, water stress, and other factors that might restrict water availability to plants. ETa varies depending on weather, soil moisture conditions, and the plant's access to water.
Crop Evapotranspiration (ETc):ETc refers to the potential water loss from a well-watered crop under optimal growth conditions, with no water stress, assuming the plant has full access to soil water. It is calculated under ideal circumstances for a specific crop and climate using a reference evapotranspiration (ETo) value and a crop coefficient (Kc). ETc is generally higher than ETa because it assumes that the plant has unrestricted water availability.
Summary:
ETa is what actually happens in real-world, sometimes water-stressed conditions, while ETc represents the ideal scenario under optimal water supply for crops.
I looked into the various evapotranspiration calculation methods when I developed ETCalc (https://etcalc.hydrotools.tech) and would say that the difference is not very clear. Actual Evapotranspiration can be obtained via various methods, which include but are not limited to field measurements or empirical equations. Empirical equations estimate Actual Evapotranspiration based on Potential/Reference Evapotranspiration and a coefficient. The coefficient can be fixed or vary in time (and space). I see Crop Evapotranspiration as a form of Actual Evapotranspiration, and in the case of empirical equations the coefficient mentioned above is called a crop coefficient.
There are various interpretation of the various forms of evapotranspiration, and hence you might find inconsistent or even conflicting definitions of these forms. For example, in some cases, the same formula is used but the calculated evapotranspiration form is called in some papers Potential Evapotranspiration and in others is called Reference Evapotranspiration.
For your interest I included a brief description of ETCalc below.
ETCalc (https://etcalc.hydrotools.tech) is a tool that integrates several customizable methods for calculating daily Potential Evapotranspiration (PET), Reference Evapotranspiration (ETR) and Actual Evapotranspiration (ET) based on user provided meteorological data and crop coefficients. The tool currently integrates Penman-Monteith, Thornthwaite, Blaney-Criddle, Turc, Priestley-Taylor, Hargreaves, Jensen-Haise and Abtew empirical equations.
You can check the data requirements in the User Guide using the link provided above. A few of the methods available in ETCalc require only one parameter.
Please note that ETCalc is part of the Hydrology Tool Set (HTS; https://www.hydrotools.tech), which includes several other tools for the analysis of various hydrological processes (e.g.; hydrograph separation, precipitation partitioning, crop water deficit, irrigation requirements, water budget, groundwater recharge).