diff --git a/.DS_Store b/.DS_Store
index e52db45..d2eac4b 100644
Binary files a/.DS_Store and b/.DS_Store differ
diff --git a/ELoss/HeLoss/E_vs_x_Al-27.dat b/ELoss/HeLoss/E_vs_x_Al-27.dat
index 52661f6..89e7169 100644
--- a/ELoss/HeLoss/E_vs_x_Al-27.dat
+++ b/ELoss/HeLoss/E_vs_x_Al-27.dat
@@ -1,10001 +1,10001 @@
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+1.7837466493435612	71.77708770877088
+1.7262728164139909	71.78427842784278
+1.6687945566011233	71.7914691469147
+1.6113118700547882	71.7986598659866
+1.5538247569243508	71.80585058505851
+1.4963332173596218	71.81304130413041
+1.4388372515099466	71.82023202320232
+1.381336859525116	71.82742274227422
+1.3238320415544564	71.83461346134614
+1.2663227977477385	71.84180418041804
+1.2088091282542692	71.84899489948995
+1.1512910332238	71.85618561856185
+1.0937685128056178	71.86337633763377
+1.0362415671494547	71.87056705670567
+0.9787101964045779	71.87775777577758
+0.9211744007207	71.88494849484948
+0.8636341802470688	71.8921392139214
+0.8060895351333772	71.8993299329933
+0.7485404655288534	71.90652065206521
+0.6909869715831708	71.91371137113711
+0.6334290534456517	71.92090209020901
+0.5758667112656087	71.92809280928093
+0.5182999451926861	71.93528352835283
+0.4607287553760629	71.94247424742474
+0.4031531419653637	71.94966496649664
+0.3455731051097483	71.95685568556856
+0.28798864495882165	71.96404640464046
+0.23039976166172388	71.97123712371237
+0.17280645536804062	71.97842784278427
+0.11520872622689238	71.98561856185619
+0.05760657438784517	71.99280928092809
+-0.0	72.0
diff --git a/ELoss/PCEnergyAnalysis.py b/ELoss/PCEnergyAnalysis.py
index a350149..2057e68 100644
--- a/ELoss/PCEnergyAnalysis.py
+++ b/ELoss/PCEnergyAnalysis.py
@@ -503,7 +503,7 @@ def prepare_tree_data(tree, treename, particle, max_events=None, z_max=34.86):
             sx3_hit_x,
             sx3_hit_y,
             sx3_hit_z,
-            SX3_SI_THICKNESS_CM,) * sx3_sin_theta
+            SX3_SI_THICKNESS_CM,)
     qqq_silicon_path_cm = calculate_qqq_thickness_path(
             qqq_vertex_x,
             qqq_vertex_y,
@@ -1393,6 +1393,35 @@ class MyInteractiveApp(cmd.Cmd):
         plt.tight_layout()
         plt.savefig(f"{base}/sx3E_vs_theta.png", dpi=300)
         plt.show()
+
+        # --- Range vs Theta and overlay 0.1/sin(theta) path length ---
+        try:
+            mask_range = (~np.isnan(Ei)) & (~np.isnan(thetab)) & sx3_theta_plot_mask & (Ei > 0)
+            if np.any(mask_range):
+                theta_deg = thetab[mask_range]
+                theta_rad = np.deg2rad(theta_deg)
+                # compute range from initial energy to 0 in He (cm)
+                ranges_cm = energy_distance(particle, "Si", Ei[mask_range], 0.0)
+
+                plt.figure(figsize=(7,6))
+                plt.hist2d(theta_deg, ranges_cm, bins=200)
+                plt.xlabel("thetab (deg)")
+                plt.ylabel("Range (cm)")
+                plt.title(f"{particle} ({treename}) Range vs Theta (from Ei to 0)")
+                cb = plt.colorbar(label="Counts")
+
+                # overlay 0.1 / sin(theta) path (cm)
+                sin_th = np.sin(theta_rad)
+                sin_th = np.where(np.abs(sin_th) < 1e-6, 1e-6, sin_th)
+                path_cm = 0.1 / sin_th
+                order = np.argsort(theta_deg)
+                plt.plot(theta_deg[order], path_cm[order], color='red', linewidth=2, label='0.1/sin(theta)')
+                plt.legend()
+                plt.tight_layout()
+                plt.savefig(f"{base}/Range_vs_theta_with_path.png", dpi=300)
+                plt.show()
+        except Exception:
+            print("Could not compute Range vs Theta plot")
         
         mask1 = (qqqE > 0) & ~np.isnan(thetabqqq) & qqq_theta_plot_mask
         plt.figure(figsize=(7,6))
@@ -1476,7 +1505,6 @@ class MyInteractiveApp(cmd.Cmd):
         plt.legend(loc='upper right')
         plt.show()
 
-            
         plt.figure(figsize=(7,5))
         plt.hist(dA[sx3_theta_plot_mask], bins=100, label='dA', histtype='step')
         plt.hist(dC[sx3_theta_plot_mask], bins=100, label='dC', histtype='step')