<p>The advent of Quaternion Linear Canonical Transforms (QLCTs) marks a significant advancement in the field of integral transforms, effectively broadening the scope of quaternion Fourier and its fractional extensions. This academic inquiry scrutinizes the nuanced phenomenon of energy concentration in the context of two-dimensional (2D) hypercomplex signals, emphasising those exhibiting quaternionic characteristics. This research endeavours to delineate the paradigm of energy concentration within the dual realms of the 2D spatial domain and the quaternion linear canonical frequency domain. Through this exploration, the study uncovers that the quaternion prolate spheroidal wave functions (QPSWFs) are preeminent regarding energy concentration. To enhance the comprehension and applicability of QPSWFs, the manuscript presents refined definitions replete with coherent and logical attributes. The overarching goal is to achieve an in-depth grasp of the metrics of energy concentration across both the 2D spatial and quaternion linear canonical frequency domains. Through illustrative examples, the paper demonstrates the varying energy concentration ratios between the truncated Gaussian function and the QPSWFs. These examples reinforce the notion that QPSWFs are indeed the epitome of energy concentration within the specified domains.</p>