diff --git a/notebook/lattice-vibration/NGLTrajectoryClass2D.py b/notebook/lattice-vibration/NGLTrajectoryClass2D.py
index 4dccdd9..bb70b9d 100644
--- a/notebook/lattice-vibration/NGLTrajectoryClass2D.py
+++ b/notebook/lattice-vibration/NGLTrajectoryClass2D.py
@@ -162,10 +162,16 @@ def __init__(self, trajectory):
         self.kx_array = np.linspace(-1.5 * np.pi, 1.5 * np.pi, 61)
         self.ky_array = np.linspace(-1.5 * np.pi, 1.5 * np.pi, 61)
         self.KX, self.KY = np.meshgrid(self.kx_array, self.ky_array)
-        # Center of Brillouin zone
-        self.idx_x = 30
-        self.idx_y = 30
+        
+        # Initialize to nontrivial k-point
+        self.x=np.pi/2
+        self.y=np.pi/2
+        self.idx_x = (np.abs(self.kx_array - self.x)).argmin()
+        self.idx_y = (np.abs(self.ky_array - self.y)).argmin()
 
+        kx = self.kx_array[self.idx_x]
+        ky = self.ky_array[self.idx_y]
+       
 
         # kx,ky bounds are 1.5*BZ edge
         self.kx_array_honey = np.linspace(-1.5 * 2 * np.pi / 3, 1.5 * 2 * np.pi / 3, 61)
@@ -176,8 +182,8 @@ def __init__(self, trajectory):
         self.KX_honey, self.KY_honey = np.meshgrid(
             self.kx_array_honey, self.ky_array_honey
         )
-        self.idx_x_honey = 30
-        self.idx_y_honey = 30
+        self.idx_x_honey = 50
+        self.idx_y_honey = 50
 
         # View settings
         self.init_delay = 20
@@ -498,7 +504,15 @@ def initialize_2D_band_plot(self):
         self.ax.set_yticks(np.linspace(-np.pi, np.pi, 5))
         self.ax.set_yticklabels(["$-\pi/a$", "", "0", "", "$\pi/a$"])
 
-        (self.point,) = self.ax.plot([0], [0], ".", c="crimson", markersize=10)
+        
+        self.x=np.pi/2
+        self.y=np.pi/2
+        self.idx_x = (np.abs(self.kx_array - self.x)).argmin()
+        self.idx_y = (np.abs(self.ky_array - self.y)).argmin()
+
+        kx = self.kx_array[self.idx_x]
+        ky = self.ky_array[self.idx_y]
+        (self.point,) = self.ax.plot([kx], [ky], ".", c="crimson", markersize=10) # TODO CHANGE INITIAL MARKER POS
 
         self.fig.canvas.mpl_connect("button_press_event", self.onclick)
         plt.ion()
@@ -544,7 +558,20 @@ def initialize_paths_bands(self):
         self.ax_.plot([20, 20], [0, 10000], "k--")
         self.ax_.plot([40, 40], [0, 10000], "k--")
 
-        (self.point_,) = self.ax_.plot([], [], "r.", markersize=10)
+                
+        self.x=np.pi/2
+        self.y=np.pi/2
+        self.idx_x = (np.abs(self.kx_array - self.x)).argmin()
+        self.idx_y = (np.abs(self.ky_array - self.y)).argmin()
+
+        kx = self.kx_array[self.idx_x]
+        ky = self.ky_array[self.idx_y]
+        
+        # default chosen to be on gamma-M
+        idx = np.where(np.all([kx, ky] == np.c_[self.kx_GM, self.ky_GM], axis=1))[
+                0
+            ][0]
+        (self.point_,) = self.ax_.plot([idx], [self.w_long[self.idx_x][self.idx_y]], "r.", markersize=10)
 
         # Position of the high symmetry points
         self.ax_.set_xticks([0, 20, 40, 60])
diff --git a/notebook/lattice-vibration/Phonon_2D.ipynb b/notebook/lattice-vibration/Phonon_2D.ipynb
index a929280..fbd542f 100644
--- a/notebook/lattice-vibration/Phonon_2D.ipynb
+++ b/notebook/lattice-vibration/Phonon_2D.ipynb
@@ -100,9 +100,22 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 1,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "5ae458bbda7148e89af095238743499d",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": []
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "import matplotlib.pyplot as plt\n",
     "%matplotlib widget\n",
@@ -122,7 +135,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -135,7 +148,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -149,7 +162,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -170,6 +183,21 @@
     "\"\"\")\n",
     "\n",
     "\n",
+    "# Cause animation to play and loop by default.\n",
+    "stop = False\n",
+    "def loop(view):\n",
+    "    import time\n",
+    "    def do():\n",
+    "        while True and not stop:\n",
+    "            if view.frame == view.max_frame:\n",
+    "                view.frame = 0\n",
+    "            view.frame = view.frame + 1\n",
+    "            time.sleep(0.2)\n",
+    "    view._run_on_another_thread(do)\n",
+    "      \n",
+    "view = handler.view        \n",
+    "view.on_displayed(loop)\n",
+    "\n",
     "widgets = [\n",
     "    handler.slider_amplitude,\n",
     "    handler.slider_C1,\n",
@@ -335,9 +363,26 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 5,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<style>\n",
+       ".box_style{\n",
+       "    border : 2px solid red;\n",
+       "}\n",
+       "</style>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "%%html\n",
     "<style>\n",
@@ -349,9 +394,38 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 6,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "13aa0f33623840e2bd0e918cd5f74856",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "VBox(children=(Tab(children=(VBox(children=(GridBox(children=(VBox(children=(Output(),), layout=Layout(grid_ar…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "0c00951c9c6f484eb058ff72a2d4b4c9",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "HBox(children=(NGLWidget(max_frame=60),), layout=Layout(align_items='center', display='flex', flex_flow='colum…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "display(actions, HBox([handler.view], layout=layout).add_class(\"box_style\"))"
    ]
@@ -425,7 +499,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.12"
+   "version": "3.10.12"
   }
  },
  "nbformat": 4,