diff --git a/py4DSTEM/process/phase/parallax.py b/py4DSTEM/process/phase/parallax.py
index e38ae6c94..f33a9b803 100644
--- a/py4DSTEM/process/phase/parallax.py
+++ b/py4DSTEM/process/phase/parallax.py
@@ -878,12 +878,7 @@ def guess_common_aberrations(
         kde_sigma_px=0.125,
         kde_lowpass_filter=False,
         lanczos_interpolation_order=None,
-        defocus=0,
-        astigmatism=0,
-        astigmatism_angle_deg=0,
-        coma=0,
-        coma_angle_deg=0,
-        spherical_aberration=0,
+        polar_parameters=None,
         max_batch_size=None,
         interpolation_max_batch_size=None,
         plot_shifts_and_aligned_bf=True,
@@ -910,18 +905,9 @@ def guess_common_aberrations(
             If True, the resulting KDE upsampled image is lowpass-filtered using a sinc-function
         lanczos_interpolation_order: int, optional
             If not None, Lanczos interpolation with the specified order is used instead of bilinear
-        defocus: float, optional
-            Defocus value to use in computing analytical BF shifts
-        astigmatism: float, optional
-            Astigmatism value to use in computing analytical BF shifts
-        astigmatism_angle_deg: float, optional
-            Astigmatism angle to use in computing analytical BF shifts
-        coma: float, optional
-            Coma value to use in computing analytical BF shifts
-        coma_angle_deg: float, optional
-            Coma angle to use in computing analytical BF shifts
-        spherical_aberration: float, optional
-            Spherical aberration value to use in computing analytical BF shifts
+        polar_parameters: dict, optional
+            Mapping from aberration symbols to their corresponding values. All aberration
+            magnitudes should be given in Å and angles should be given in radians.
         max_batch_size: int, optional
             Max number of virtual BF images to use at once in computing cross-correlation
         plot_shifts_and_aligned_bf: bool, optional
@@ -934,7 +920,9 @@ def guess_common_aberrations(
             Scale to multiply shifts by
         interpolation_max_batch_size: int, optional
             Max number of pixels to use at once in upsampling (max is #BF * upsampled_pixels)
-
+        kwargs:
+            Provide the aberration coefficients as keyword arguments.
+            kwargs which are not recognized as aberrations will be passed to the visualizations
         """
         xp = self._xp
         asnumpy = self._asnumpy
@@ -947,29 +935,52 @@ def guess_common_aberrations(
                 )
             )
 
-        # aberrations_coefs
-        aberrations_mn = [
-            [1, 0, 0],
-            [1, 2, 0],
-            [1, 2, 1],
-            [2, 1, 0],
-            [2, 1, 1],
-            [3, 0, 0],
-        ]
-        astigmatism_x = astigmatism * np.cos(np.deg2rad(astigmatism_angle_deg) * 2)
-        astigmatism_y = astigmatism * np.sin(np.deg2rad(astigmatism_angle_deg) * 2)
-        coma_x = coma * np.cos(np.deg2rad(coma_angle_deg) * 1)
-        coma_y = coma * np.sin(np.deg2rad(coma_angle_deg) * 1)
-        aberrations_coefs = xp.array(
-            [
-                -defocus,
-                astigmatism_x,
-                astigmatism_y,
-                coma_x,
-                coma_y,
-                spherical_aberration,
-            ]
-        )
+        aberrations_kwargs = kwargs.copy()
+        plotting_kwargs = {}
+
+        for key, val in kwargs.items():
+            if (key not in polar_symbols) and (key not in polar_aliases.keys()):
+                aberrations_kwargs.pop(key)
+                plotting_kwargs[key] = val
+
+        if polar_parameters is None:
+            polar_parameters = {}
+
+        polar_dict = self._polar_parameters.copy()  # copy init dict
+        polar_dict |= polar_parameters  # merge with passed dict
+
+        for symbol, value in aberrations_kwargs.items():
+            if symbol in polar_dict.keys():
+                polar_dict[symbol] = value
+            elif symbol == "defocus":
+                polar_dict[polar_aliases[symbol]] = -value
+            elif symbol in polar_aliases.keys():
+                polar_dict[polar_aliases[symbol]] = value
+            else:
+                raise ValueError("{} not a recognized parameter".format(symbol))
+
+        aberrations_mn = []
+        for symbol in polar_symbols:
+            if symbol[0] == "C":
+                if np.abs(polar_dict[symbol]) > 0:
+                    _, m, n = symbol
+                    aberrations_mn.append([int(m), int(n), 0])
+                    if int(n) > 0:
+                        aberrations_mn.append([int(m), int(n), 1])
+
+        coeffs = []
+        for m, n, a in aberrations_mn:
+            mag = polar_dict.get(f"C{m}{n}")
+            if n == 0:
+                coeffs.append(mag)
+            else:
+                angle = polar_dict.get(f"phi{m}{n}")
+                if a == 0:
+                    coeffs.append(mag * np.cos(angle * n))
+                else:
+                    coeffs.append(mag * np.sin(angle * n))
+
+        aberrations_coefs = xp.array(coeffs)
 
         # transpose rotation matrix
         if transpose:
@@ -1076,9 +1087,9 @@ def guess_common_aberrations(
             )
 
         if plot_shifts_and_aligned_bf:
-            figsize = kwargs.pop("figsize", (8, 4))
-            color = kwargs.pop("color", (1, 0, 0, 1))
-            cmap = kwargs.pop("cmap", "magma")
+            figsize = plotting_kwargs.pop("figsize", (8, 4))
+            color = plotting_kwargs.pop("color", (1, 0, 0, 1))
+            cmap = plotting_kwargs.pop("cmap", "magma")
 
             fig, axs = plt.subplots(1, 2, figsize=figsize)
 
@@ -1100,7 +1111,7 @@ def guess_common_aberrations(
                 0,
             ]
 
-            axs[1].imshow(cropped_image, cmap=cmap, extent=extent, **kwargs)
+            axs[1].imshow(cropped_image, cmap=cmap, extent=extent, **plotting_kwargs)
             axs[1].set_ylabel("x [A]")
             axs[1].set_xlabel("y [A]")
             axs[1].set_title("Predicted Aligned BF Image")