diff --git a/PySDM/physics/isotope_kinetic_fractionation_factors/jouzel_and_merlivat_1984.py b/PySDM/physics/isotope_kinetic_fractionation_factors/jouzel_and_merlivat_1984.py
index f17186751d..783388dc6a 100644
--- a/PySDM/physics/isotope_kinetic_fractionation_factors/jouzel_and_merlivat_1984.py
+++ b/PySDM/physics/isotope_kinetic_fractionation_factors/jouzel_and_merlivat_1984.py
@@ -30,3 +30,39 @@ def alpha_kinetic(alpha_equilibrium, saturation, D_ratio_heavy_to_light):
         return saturation / (
             alpha_equilibrium / D_ratio_heavy_to_light * (saturation - 1) + 1
         )
+
+    @staticmethod
+    def transfer_coefficient(const, rho_s, D, Fk):
+        """
+        eq. (A4) in Jouzel & Merlivat 1975,
+        eq. (A6) in Bolot 2013.
+
+        Parameters
+        ----------
+        D
+            Diffusion coefficient for light isotope.
+        Fk
+            Term associated with heat transfer.
+
+        Returns
+        ----------
+        Thermal transfer coefficient between water vapour and condensate.
+        """
+        return 1 / (1 + D * rho_s / const.rho_w * Fk)
+
+    @staticmethod
+    def effective_saturation(transfer_coefficient, RH):
+        """
+
+        Parameters
+        ----------
+        transfer_coefficient
+            Thermal transfer coefficient between water vapour and condensate (liquid water or ice).
+        RH
+            Relative humidity.
+
+        Returns
+        ----------
+        Effective vapour saturation over liquid water or ice.
+        """
+        return 1 / (1 - transfer_coefficient * (1 - 1 / RH))
diff --git a/docs/bibliography.json b/docs/bibliography.json
index 337dc2a2b6..fafca06568 100644
--- a/docs/bibliography.json
+++ b/docs/bibliography.json
@@ -881,7 +881,8 @@
       "examples/PySDM_examples/Jouzel_and_Merlivat_1984/fig_8_9.ipynb",
       "examples/PySDM_examples/Jouzel_and_Merlivat_1984/thermodynamic_profiles.py",
       "tests/unit_tests/physics/test_isotope_kinetic_fractionation_factors.py",
-      "examples/PySDM_examples/Fisher_1991/__init__.py"
+      "examples/PySDM_examples/Fisher_1991/__init__.py",
+      "tests/smoke_tests/no_env/jouzel_and_merlivat_1984/test_fig_8.py"
     ],
     "title": "Deuterium and oxygen 18 in precipitation: Modeling of the isotopic effects during snow formation",
     "label": "Jouzel & Merlivat 1984 (J. Geophys. Res. Atmos. 89)"
diff --git a/examples/PySDM_examples/Fisher_1991/fig_2.ipynb b/examples/PySDM_examples/Fisher_1991/fig_2.ipynb
index 6ebee29c8b..9e786c967f 100644
--- a/examples/PySDM_examples/Fisher_1991/fig_2.ipynb
+++ b/examples/PySDM_examples/Fisher_1991/fig_2.ipynb
@@ -36,7 +36,7 @@
    ],
    "id": "31481014375c7d36",
    "outputs": [],
-   "execution_count": 1
+   "execution_count": 75
   },
   {
    "cell_type": "code",
@@ -63,7 +63,7 @@
     ")"
    ],
    "outputs": [],
-   "execution_count": 2
+   "execution_count": 76
   },
   {
    "metadata": {
@@ -91,9 +91,9 @@
     "    alpha_eq[isotope] = getattr(formulae.isotope_equilibrium_fractionation_factors, f'alpha_i_{isotope}')\n",
     "    diffusivity_ratio[isotope] = getattr(formulae.isotope_diffusivity_ratios, f'ratio_{isotope}_heavy_to_light')"
    ],
-   "id": "91bb290498429f53",
+   "id": "92e11666a7b83d4d",
    "outputs": [],
-   "execution_count": 3
+   "execution_count": 77
   },
   {
    "metadata": {
@@ -111,9 +111,9 @@
     "        saturation = ice_saturation_curve_4(const=const, T=T)\n",
     "    )"
    ],
-   "id": "754af83e4ab216bc",
+   "id": "cd4693f604f74961",
    "outputs": [],
-   "execution_count": 4
+   "execution_count": 78
   },
   {
    "metadata": {
@@ -142,7 +142,7 @@
    ],
    "id": "9ca4e3256065274b",
    "outputs": [],
-   "execution_count": 5
+   "execution_count": 79
   },
   {
    "metadata": {
@@ -160,9 +160,9 @@
     "y_e = 0\n",
     "yf = partial(vapour_mixing_ratio, formulae)\n"
    ],
-   "id": "71979cfe7348344d",
+   "id": "7bce3bc5674ae8cb",
    "outputs": [],
-   "execution_count": 6
+   "execution_count": 80
   },
   {
    "metadata": {
@@ -180,15 +180,11 @@
     "    t_eval=temperature\n",
     ")\n",
     "assert result.success, result.message\n",
-    "delta_2H, delta_18O = result.y\n",
-    "d_excess = formulae.isotope_meteoric_water_line.excess_d(\n",
-    "    delta_2H=delta_2H,\n",
-    "    delta_18O=delta_18O\n",
-    ")"
+    "delta_2H, delta_18O = result.y\n"
    ],
-   "id": "4e112378083e50f5",
+   "id": "200252902b10ccb6",
    "outputs": [],
-   "execution_count": 7
+   "execution_count": 81
   },
   {
    "metadata": {
@@ -225,7 +221,7 @@
     "pyplot.legend()\n",
     "show_plot(\"fig_1\")"
    ],
-   "id": "153a6e26bc2be38a",
+   "id": "262ff6a72a6d27ec",
    "outputs": [
     {
      "data": {
@@ -252,7 +248,7 @@
      "output_type": "display_data"
     }
    ],
-   "execution_count": 8
+   "execution_count": 82
   },
   {
    "metadata": {
@@ -265,10 +261,13 @@
    "source": [
     "d_excess_from_fig2 = np.array((10, 8, 7, 6.8, 6, 5.3, 4, 2.5, 0)) * PER_MILLE\n",
     "T_from_fig2 = np.linspace(-50, -10, n_points)\n",
-    "\n",
+    "d_excess = formulae.isotope_meteoric_water_line.excess_d(\n",
+    "    delta_2H=delta_2H,\n",
+    "    delta_18O=delta_18O\n",
+    ")\n",
     "\n",
     "pyplot.plot(\n",
-    "    K2C(temperature[::-1]),\n",
+    "    K2C(temperature)[::-1],\n",
     "    in_unit(d_excess, PER_MILLE)[::-1],\n",
     "    label=\"d-excess, TODO #1601 (WORK IN PROGRESS - NO MATCH WITH THE PAPER YET)\",\n",
     ")\n",
@@ -281,7 +280,7 @@
     "pyplot.legend()\n",
     "show_plot(\"fig_2\")"
    ],
-   "id": "571d258dc7dea96f",
+   "id": "2cf7385894279338",
    "outputs": [
     {
      "data": {
diff --git a/examples/PySDM_examples/Jouzel_and_Merlivat_1984/fig_8_9.ipynb b/examples/PySDM_examples/Jouzel_and_Merlivat_1984/fig_8_9.ipynb
index 446d44e577..e38ee8b6fb 100644
--- a/examples/PySDM_examples/Jouzel_and_Merlivat_1984/fig_8_9.ipynb
+++ b/examples/PySDM_examples/Jouzel_and_Merlivat_1984/fig_8_9.ipynb
@@ -14,16 +14,17 @@
    "metadata": {},
    "cell_type": "markdown",
    "source": [
-    "# figs 8 and 9 from [Jouzel and Merlivat 1984](https://doi.org/10.1029/JD089iD07p11749) \"_Deuterium and oxygen 18 in precipitation: Modeling of the isotopic effects during snow formation_\"\n",
-    "\n"
+    "# Comparison between saturation wrt. ice and effective saturation - based on  [Jouzel and Merlivat 1984](https://doi.org/10.1029/JD089iD07p11749) \"_Deuterium and oxygen 18 in precipitation: Modeling of the isotopic effects during snow formation_\"\n",
+    "\n",
+    "figs 8 and 9"
    ],
    "id": "841538e30be219a1"
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-06-25T23:25:40.862379Z",
-     "start_time": "2025-06-25T23:25:40.859115Z"
+     "end_time": "2025-07-10T10:48:11.678433Z",
+     "start_time": "2025-07-10T10:48:11.674981Z"
     }
    },
    "cell_type": "code",
@@ -44,8 +45,8 @@
    "metadata": {
     "collapsed": true,
     "ExecuteTime": {
-     "end_time": "2025-06-25T23:25:42.736860Z",
-     "start_time": "2025-06-25T23:25:40.951437Z"
+     "end_time": "2025-07-10T10:48:13.278425Z",
+     "start_time": "2025-07-10T10:48:11.743948Z"
     }
    },
    "source": [
@@ -62,16 +63,21 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-06-25T23:25:43.030796Z",
-     "start_time": "2025-06-25T23:25:42.742196Z"
+     "end_time": "2025-07-10T10:48:13.549139Z",
+     "start_time": "2025-07-10T10:48:13.285324Z"
     }
    },
    "cell_type": "code",
    "source": [
-    "formulae = Formulae(\n",
+    "ANY_NUMBER = 44\n",
+    "\n",
+    "formulae= Formulae(\n",
+    "    latent_heat_vapourisation=\"Lowe2019\",\n",
+    "    saturation_vapour_pressure=\"MurphyKoop2005\",\n",
     "    isotope_diffusivity_ratios=\"Stewart1975\",\n",
-    "    isotope_equilibrium_fractionation_factors=\"Majoube1970\",\n",
-    "    isotope_kinetic_fractionation_factors=\"JouzelAndMerlivat1984\"\n",
+    "    isotope_kinetic_fractionation_factors=\"JouzelAndMerlivat1984\",\n",
+    "    isotope_equilibrium_fractionation_factors=\"MerlivatAndNief1967+Majoube1970\",\n",
+    "    diffusion_thermics=\"Neglect\",\n",
     ")\n",
     "const = formulae.constants\n",
     "svp = formulae.saturation_vapour_pressure\n",
@@ -81,46 +87,151 @@
     "n_points = 100\n",
     "T_0_50 = C2K(np.linspace(0.0, -50, n_points))"
    ],
-   "id": "87e416d611926ad5",
+   "id": "6f7078d9d56a0a7c",
    "outputs": [],
    "execution_count": 3
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-06-25T23:25:44.982409Z",
-     "start_time": "2025-06-25T23:25:43.041753Z"
+     "end_time": "2025-07-10T10:48:13.561668Z",
+     "start_time": "2025-07-10T10:48:13.559532Z"
+    }
+   },
+   "cell_type": "code",
+   "source": [
+    "diffusivity_ratio = {}\n",
+    "alpha_eq = {}\n",
+    "alpha_kinetic = {}\n",
+    "isotopes = (\"2H\", \"18O\")\n",
+    "for isotope in isotopes:\n",
+    "    alpha_eq[isotope] = getattr(formulae.isotope_equilibrium_fractionation_factors, f'alpha_i_{isotope}')\n",
+    "    diffusivity_ratio[isotope] = getattr(formulae.isotope_diffusivity_ratios, f'ratio_{isotope}_heavy_to_light')"
+   ],
+   "id": "2c7e390144e7499",
+   "outputs": [],
+   "execution_count": 4
+  },
+  {
+   "metadata": {},
+   "cell_type": "markdown",
+   "source": "## Saturation wrt ice - comparison with effective saturation",
+   "id": "bbb54a367a947a49"
+  },
+  {
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-07-10T10:48:15.236361Z",
+     "start_time": "2025-07-10T10:48:13.569626Z"
     }
    },
    "cell_type": "code",
    "source": [
+    "pvs_ice = formulae.saturation_vapour_pressure.pvs_ice\n",
+    "pvs_water = formulae.saturation_vapour_pressure.pvs_water\n",
+    "pressure = ANY_NUMBER\n",
+    "\n",
+    "D_light = formulae.diffusion_thermics.D(T=T_0_50, p=pressure)\n",
+    "Fk = formulae.drop_growth.Fk(\n",
+    "    T=T_0_50,\n",
+    "    K=formulae.diffusion_thermics.K(T=T_0_50, p=pressure),\n",
+    "    lv=formulae.latent_heat_vapourisation.lv(T_0_50)\n",
+    ")\n",
+    "\n",
+    "saturation_wrt_ice_at_RH100 = pvs_water(T_0_50) / pvs_ice(T_0_50)\n",
+    "\n",
+    "eff_saturation_wrt_ice_at_RH100 = formulae.isotope_kinetic_fractionation_factors.effective_saturation(\n",
+    "    transfer_coefficient=formulae.isotope_kinetic_fractionation_factors.transfer_coefficient(\n",
+    "    rho_s = pvs_ice(T_0_50) / const.Rv / T_0_50,\n",
+    "    D=D_light,\n",
+    "    Fk=Fk\n",
+    "),\n",
+    "    RH=saturation_wrt_ice_at_RH100\n",
+    ")"
+   ],
+   "id": "47503ee93cc639b7",
+   "outputs": [],
+   "execution_count": 5
+  },
+  {
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-07-10T10:48:16.174530Z",
+     "start_time": "2025-07-10T10:48:15.248702Z"
+    }
+   },
+   "cell_type": "code",
+   "source": [
+    "isotope_considered = '2H'\n",
+    "alpha_kinetic = formulae.isotope_kinetic_fractionation_factors.alpha_kinetic(\n",
+    "        alpha_equilibrium = alpha_eq[isotope_considered](T_0_50),\n",
+    "        D_ratio_heavy_to_light=diffusivity_ratio[isotope_considered](T_0_50),\n",
+    "        saturation = saturation_wrt_ice_at_RH100\n",
+    "    )\n",
+    "\n",
+    "eff_alpha_kinetic = formulae.isotope_kinetic_fractionation_factors.alpha_kinetic(\n",
+    "        alpha_equilibrium = alpha_eq[isotope_considered](T_0_50),\n",
+    "        D_ratio_heavy_to_light=diffusivity_ratio[isotope_considered](T_0_50),\n",
+    "        saturation =  eff_saturation_wrt_ice_at_RH100\n",
+    "    )"
+   ],
+   "id": "ad049bb8d20fa39b",
+   "outputs": [],
+   "execution_count": 6
+  },
+  {
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-07-10T10:48:16.674907Z",
+     "start_time": "2025-07-10T10:48:16.184371Z"
+    }
+   },
+   "cell_type": "code",
+   "source": [
+    "pyplot.plot(\n",
+    "    K2C(T_0_50),\n",
+    "    saturation_wrt_ice_at_RH100,\n",
+    "    'k',\n",
+    "    label='saturation wrt ice at RH100',\n",
+    ")\n",
     "pyplot.plot(\n",
     "    K2C(T_0_50),\n",
-    "    svp.pvs_water(T_0_50) / svp.pvs_ice(T_0_50),\n",
-    "    label='saturation wrt liquid phase',\n",
+    "    pvs_ice(T_0_50),\n",
+    "    'b',\n",
+    "    label='',\n",
+    ")\n",
+    "pyplot.plot(\n",
+    "    K2C(T_0_50),\n",
+    "    eff_saturation_wrt_ice_at_RH100,\n",
+    "    'k--',\n",
+    "    label=\"effective saturation wrt ice at RH100\",\n",
     ")\n",
     "pyplot.plot(\n",
     "    K2C(T_0_50)[n_points//5:],\n",
     "    ice_saturation_curve_4(const,T_0_50[n_points//5:]),\n",
+    "    'g',\n",
     "    label='curve 4',\n",
     ")\n",
+    "pyplot.legend()\n",
     "pyplot.gca().set(\n",
-    "    ylabel='Si',\n",
-    "    xlabel='Temperature (C)',\n",
+    "    title=f\"Saturation wrt ice for {isotope_considered} at RH=100\",\n",
+    "    xlabel=\"Temperature [°C]\",\n",
+    "    ylabel=\"Si [ ]\",\n",
     "    xlim=(K2C(T_0_50[0]), K2C(T_0_50[-1])),\n",
+    "    ylim=(1, 1.7)\n",
     ")\n",
     "pyplot.grid()\n",
     "pyplot.legend()\n",
     "show_plot('fig_8')"
    ],
-   "id": "3f97b336a478a65a",
+   "id": "fd51ae9370fec8d7",
    "outputs": [
     {
      "data": {
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ],
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      "output_type": "display_data"
@@ -133,45 +244,160 @@
       "application/vnd.jupyter.widget-view+json": {
        "version_major": 2,
        "version_minor": 0,
-       "model_id": "8c15bde98c9c4698979a4cb47ad75d48"
+       "model_id": "a1dfa4c3b72242c39e736397d22a942d"
       }
      },
      "metadata": {},
      "output_type": "display_data"
     }
    ],
-   "execution_count": 4
+   "execution_count": 7
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-06-25T23:25:45.731460Z",
-     "start_time": "2025-06-25T23:25:44.995396Z"
+     "end_time": "2025-07-10T10:48:16.991147Z",
+     "start_time": "2025-07-10T10:48:16.706807Z"
+    }
+   },
+   "cell_type": "code",
+   "source": [
+    "saturation_difference = saturation_wrt_ice_at_RH100 - eff_saturation_wrt_ice_at_RH100\n",
+    "pyplot.plot(K2C(T_0_50), abs(saturation_difference), 'k')\n",
+    "pyplot.grid()\n",
+    "pyplot.gca().set(\n",
+    "    title=\"Absolute difference between environment and effective saturation wrt ice\",\n",
+    "    xlabel=\"temperature [C]\",\n",
+    "    ylabel=\"$|Si - S_{{eff}}|$ [ ]\",\n",
+    ")\n",
+    "show_plot(\"Si_minus_effective_Si\")"
+   ],
+   "id": "2573a83fb26b7f0f",
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ],
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+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "HBox(children=(HTML(value=\"<a href='./Si_minus_effective_Si.pdf' target='_blank'>./Si_minus_effective_Si.pdf</…"
+      ],
+      "application/vnd.jupyter.widget-view+json": {
+       "version_major": 2,
+       "version_minor": 0,
+       "model_id": "383f4d6a91a64d058af9e8e32b46fb5d"
+      }
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "execution_count": 8
+  },
+  {
+   "metadata": {},
+   "cell_type": "markdown",
+   "source": "## Kinetic fractionation factors",
+   "id": "c24f76eff2cd8537"
+  },
+  {
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-07-10T10:48:17.154165Z",
+     "start_time": "2025-07-10T10:48:17.008329Z"
+    }
+   },
+   "cell_type": "code",
+   "source": [
+    "pyplot.plot(K2C(T_0_50), alpha_kinetic, 'k', label=\"with Si\")\n",
+    "pyplot.plot(K2C(T_0_50), eff_alpha_kinetic, 'k--', label=\"with effective Si\")\n",
+    "pyplot.legend()\n",
+    "pyplot.gca().set(\n",
+    "    title=\"Kinetic Fractionation Factors of Temperature\",\n",
+    "    xlabel=\"temperature [C]\",\n",
+    "    ylabel=\"$\\\\alpha_{{kinetic}}$ [ ]\",\n",
+    ")\n",
+    "pyplot.grid()\n",
+    "show_plot('alpha_kinetic_of_temperature')"
+   ],
+   "id": "a6f43368e6074e34",
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ],
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+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "HBox(children=(HTML(value=\"<a href='./alpha_kinetic_of_temperature.pdf' target='_blank'>./alpha_kinetic_of_tem…"
+      ],
+      "application/vnd.jupyter.widget-view+json": {
+       "version_major": 2,
+       "version_minor": 0,
+       "model_id": "7e88c170759c47f68245fadf3f3ad6f5"
+      }
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "execution_count": 9
+  },
+  {
+   "metadata": {},
+   "cell_type": "markdown",
+   "source": [
+    "## Fig. 9: Effective fractionation factors\n",
+    "$\\alpha_{eff} = \\alpha_s\\alpha_k$\n",
+    "for $^{18}$O of saturation over ice"
+   ],
+   "id": "552c5304753132f5"
+  },
+  {
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-07-10T10:48:18.029386Z",
+     "start_time": "2025-07-10T10:48:17.159609Z"
     }
    },
    "cell_type": "code",
    "source": [
     "temperatures = C2K(np.array([-10., -20., -30.]))\n",
+    "isotope_considered = \"18O\"\n",
+    "\n",
     "alphas_eff = np.zeros((n_points, len(temperatures)))\n",
     "Si = np.linspace(1.0, 1.4, n_points)\n",
     "for i, T in enumerate(temperatures):\n",
-    "    alpha_s = formulae.isotope_equilibrium_fractionation_factors.alpha_i_18O(T)\n",
+    "    alpha_s = alpha_eq[isotope_considered](T)\n",
     "    alpha_k = formulae.isotope_kinetic_fractionation_factors.alpha_kinetic(\n",
     "        alpha_equilibrium=alpha_s,\n",
     "        saturation=Si,\n",
-    "        D_ratio_heavy_to_light=formulae.isotope_diffusivity_ratios.ratio_18O_heavy_to_light(T)\n",
+    "        D_ratio_heavy_to_light=diffusivity_ratio[isotope_considered](T),\n",
     "    )\n",
     "    alphas_eff[:, i] = alpha_k * alpha_s"
    ],
    "id": "1a7e5ae0c7093428",
    "outputs": [],
-   "execution_count": 5
+   "execution_count": 10
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-06-25T23:25:45.959914Z",
-     "start_time": "2025-06-25T23:25:45.739364Z"
+     "end_time": "2025-07-10T10:48:18.247014Z",
+     "start_time": "2025-07-10T10:48:18.054434Z"
     }
    },
    "cell_type": "code",
@@ -180,27 +406,27 @@
     "    pyplot.plot(\n",
     "        Si,\n",
     "        alphas_eff[:, i],\n",
-    "        label=f'{K2C(T):.5g} (C)',\n",
-    "        color='k',\n",
+    "        'g',\n",
+    "        label=f'${K2C(T):.5g}$ [°C]',\n",
     "        linewidth = 1 + i/2\n",
     "    )\n",
     "pyplot.gca().set(\n",
     "    ylabel='$\\\\alpha_s\\\\alpha_k$',\n",
     "    xlabel='Si',\n",
-    "    title = \"$\\\\alpha_s\\\\alpha_k$ for $^{18}$O of saturation over ice\"\n",
+    "    title = f\"Effective fractionation factors for {isotope_considered}\"\n",
     ")\n",
     "pyplot.grid()\n",
     "pyplot.legend()\n",
     "show_plot('fig_9')"
    ],
-   "id": "8b1287b4696c7dda",
+   "id": "7c07f76691edf597",
    "outputs": [
     {
      "data": {
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
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      "metadata": {},
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@@ -213,25 +439,25 @@
       "application/vnd.jupyter.widget-view+json": {
        "version_major": 2,
        "version_minor": 0,
-       "model_id": "a478d96b93d34ed2936063de54732783"
+       "model_id": "df8d0f3528124da78a006fd0b6c88e9c"
       }
      },
      "metadata": {},
      "output_type": "display_data"
     }
    ],
-   "execution_count": 6
+   "execution_count": 11
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-06-25T23:25:45.972541Z",
-     "start_time": "2025-06-25T23:25:45.970842Z"
+     "end_time": "2025-07-10T10:48:18.272016Z",
+     "start_time": "2025-07-10T10:48:18.269850Z"
     }
    },
    "cell_type": "code",
    "source": "",
-   "id": "94ff2c9e78541ae",
+   "id": "d482baa7f1c16462",
    "outputs": [],
    "execution_count": null
   }
diff --git a/tests/smoke_tests/no_env/jouzel_and_merlivat_1984/test_fig_8.py b/tests/smoke_tests/no_env/jouzel_and_merlivat_1984/test_fig_8.py
new file mode 100644
index 0000000000..1064a89c5f
--- /dev/null
+++ b/tests/smoke_tests/no_env/jouzel_and_merlivat_1984/test_fig_8.py
@@ -0,0 +1,96 @@
+"""
+tests for fig. 8 from [Jouzel & Merlivat 1984 (J. Geophys. Res. Atmos. 89)](https://doi.org/10.1029/JD089iD07p11749)
+"""  # pylint: disable=line-too-long
+
+from pathlib import Path
+import pytest
+import numpy as np
+from open_atmos_jupyter_utils import notebook_vars
+
+from PySDM_examples import Jouzel_and_Merlivat_1984
+from PySDM.physics.constants import T0
+
+PLOT = False
+
+
+@pytest.fixture(scope="session", name="notebook_variables")
+def notebook_variables_fixture():
+    return notebook_vars(
+        file=Path(Jouzel_and_Merlivat_1984.__file__).parent / "fig_8_9.ipynb",
+        plot=PLOT,
+    )
+
+
+class TestFig8:
+    @staticmethod
+    @pytest.mark.parametrize(
+        "if_effective, temp_C, value",
+        (
+            (False, 0, 1),
+            (False, -10, 1.1),
+            (False, -20, 1.22),
+            (False, -30, 1.34),
+            (False, -45, 1.54),
+            (True, 0, 1),
+            (True, -10, 1.08),
+            (True, -20, 1.18),
+            (True, -30, 1.30),
+            (True, -45, 1.52),
+        ),
+    )
+    def test_fig8_values_against_the_paper(
+        notebook_variables, if_effective, temp_C, value
+    ):
+        # arrange
+        temperature_C = notebook_variables["T_0_50"] - T0
+        if if_effective:
+            Si = notebook_variables["eff_saturation_wrt_ice_at_RH100"]
+        else:
+            Si = notebook_variables["saturation_wrt_ice_at_RH100"]
+
+        # act
+        sut = Si[np.argmin(np.abs(temperature_C - temp_C))]
+
+        # assert
+        np.testing.assert_approx_equal(sut, value, significant=1)
+
+    @staticmethod
+    @pytest.mark.parametrize("temperature_C, expected", ((-20, 0.05),))
+    def test_fig_8_max_difference(notebook_variables, temperature_C, expected):
+        """
+        Test maximum difference between saturation and effective saturation over ice.
+        Based on comment the on eq. (13)
+        in [Jouzel & Merlivat 1984 (J. Geophys. Res. Atmos. 89)](https://doi.org/10.1029/JD089iD07p11749)
+        """  # pylint: disable=line-too-long
+        # arrange
+        saturation_difference = notebook_variables["saturation_difference"]
+        temp = notebook_variables["T_0_50"]
+        temp_C = temp - T0
+        temp_C_tolerance = 0.01
+
+        # act
+        max_difference = np.max(saturation_difference)
+        temp_C_range_max = temp_C[
+            np.isclose(saturation_difference, max_difference, rtol=0.1)
+        ]
+
+        # assert
+        assert max_difference <= expected
+        assert (
+            np.min(temp_C_range_max) - temp_C_tolerance
+            <= temperature_C
+            <= np.max(temp_C_range_max) + temp_C_tolerance
+        )
+
+    @staticmethod
+    def test_alpha_less_then_eff_alpha(notebook_variables):
+        # arrange
+        alpha_eff = notebook_variables["eff_alpha_kinetic"]
+        alpha = notebook_variables["alpha_kinetic"]
+
+        # act
+        sut = alpha_eff
+
+        # assert
+        np.testing.assert_array_less(sut, 1)
+        np.testing.assert_array_less(alpha, alpha_eff)
diff --git a/tests/unit_tests/physics/test_isotope_kinetic_fractionation_factors.py b/tests/unit_tests/physics/test_isotope_kinetic_fractionation_factors.py
index 84feeb7ed4..1a1855c362 100644
--- a/tests/unit_tests/physics/test_isotope_kinetic_fractionation_factors.py
+++ b/tests/unit_tests/physics/test_isotope_kinetic_fractionation_factors.py
@@ -34,6 +34,23 @@ def test_units_alpha_kinetic():
             # assert
             assert sut.check("[]")
 
+    @staticmethod
+    def test_units_transfer_coefficient():
+        with DimensionalAnalysis():
+            # arrange
+            const = Formulae().constants
+            rho_s = 1 * physics.si.g / physics.si.m**3
+            D = 1 * physics.si.m**2 / physics.si.s
+            Fk = 1 * physics.si.s / physics.si.m**2
+
+            # act
+            sut = JouzelAndMerlivat1984.transfer_coefficient(
+                const=const, D=D, Fk=Fk, rho_s=rho_s
+            )
+
+            # assert
+            assert sut.check("[]")
+
     @staticmethod
     def test_fig_9_from_jouzel_and_merlivat_1984(plot=False):
         """[Jouzel & Merlivat 1984](https://doi.org/10.1029/JD089iD07p11749)"""
@@ -170,3 +187,35 @@ def test_alpha_kinetic_jouzel_merlivat_vs_craig_gordon(
         # assert
         np.testing.assert_equal(n > 0.5, True)
         np.testing.assert_equal(n < 1, True)
+
+    @staticmethod
+    @pytest.mark.parametrize("T", np.linspace(240, 300, 11))
+    def test_effective_saturation(T):
+        # arrange
+        formulae = Formulae(drop_growth="Mason1971")
+        const = formulae.constants
+        saturation = np.linspace(0.8, 1.2, 21)
+        rho_s = formulae.saturation_vapour_pressure.pvs_ice(T) / const.Rv / T
+        Fk = formulae.drop_growth.Fk(
+            T=T,
+            K=const.K0,
+            lv=formulae.latent_heat_vapourisation.lv(T),
+        )
+        A_li = JouzelAndMerlivat1984.transfer_coefficient(
+            const=const, rho_s=rho_s, D=const.D0, Fk=Fk
+        )
+
+        # act
+        sut = JouzelAndMerlivat1984.effective_saturation(
+            transfer_coefficient=A_li,
+            RH=saturation,
+        )
+        idx_subsaturation = np.where(saturation < 1)
+
+        # assert
+        np.testing.assert_array_less(
+            saturation[idx_subsaturation], sut[idx_subsaturation]
+        )
+        np.testing.assert_array_less(
+            sut[~idx_subsaturation[0]], saturation[~idx_subsaturation[0]]
+        )