diff --git a/docs/source/examples/example_data/CeO2_635um_accum_0.xy b/docs/source/examples/example_data/CeO2_635um_accum_0.xy
new file mode 100644
index 0000000..97b1f9e
--- /dev/null
+++ b/docs/source/examples/example_data/CeO2_635um_accum_0.xy
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diff --git a/docs/source/examples/example_data/CeO2_635um_zscan_200umSlit_chanClose_exported.xy b/docs/source/examples/example_data/CeO2_635um_zscan_200umSlit_chanClose_exported.xy
new file mode 100644
index 0000000..ff53fff
--- /dev/null
+++ b/docs/source/examples/example_data/CeO2_635um_zscan_200umSlit_chanClose_exported.xy
@@ -0,0 +1,152 @@
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diff --git a/docs/source/examples/example_data/zro2_mo.xy b/docs/source/examples/example_data/zro2_mo.xy
new file mode 100644
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diff --git a/docs/source/examples/examples.rst b/docs/source/examples/examples.rst
index 5a30d3b..f0cd8ca 100644
--- a/docs/source/examples/examples.rst
+++ b/docs/source/examples/examples.rst
@@ -12,3 +12,4 @@ Landing page for diffpy.utils examples.
     resample_example
     parsers_example
     tools_example
+    mu_calc_examples
diff --git a/docs/source/examples/mu_calc_examples.rst b/docs/source/examples/mu_calc_examples.rst
new file mode 100644
index 0000000..2326a46
--- /dev/null
+++ b/docs/source/examples/mu_calc_examples.rst
@@ -0,0 +1,123 @@
+.. _mu calc Example:
+
+:tocdepth: -1
+
+Linear Absorption Coefficient (μ) Examples
+#########################################
+
+These examples will demonstrate how to calculate the Linear absorption
+coefficient, μ, using different methods provided in ``diffpy.utils``.
+
+
+.. admonition:: Methods for obtaining linear absorption coefficient
+
+   Obtaining μ can be done in **two
+   different ways** using ``diffpy.utils``.
+
+   1. **Using a "z-scan" measurement**: Perform a z-scan measurement
+      on the sample and use ``diffpy.utils.tools.compute_mud`` to calculate
+      μ.
+   2. **Using tabulated values**: Given composition, density, and X-ray energy,
+      use ``diffpy.utils.tools.compute_mu_using_xraydb`` to calculate μ from
+      tabulated values.
+
+Why is μ Important?
+-----------------------
+
+The linear absorption coefficient, μ, quantifies how much X-ray
+radiation is absorbed by a material per unit length. It is a critical
+parameter in many scientific techniques.
+
+For example, when calculating pair distribution functions (PDFs)
+using ``diffpy.pdfgetx``,
+a key assumption is that the linear absorption is negligible.
+This is frequently the case for high-energy X-rays. However,
+this must be corrected for when using low energy X-rays, such
+as those from a laboratory source. To correct for linear absorption,
+the linear absorption coefficient, μ, must be known.
+
+.. admonition:: Correcting for linear absorption with ``diffpy.labpdfproc``
+
+   If your objective is to correct for linear absorption in PDF calculations,
+   please refer to our package ``diffpy.labpdfproc``. This package is specifically
+   designed to correct your laboratory X-ray PDF data for absorption effects.
+   More information can be found in the
+   `diffpy.labpdfproc documentation <https://www.diffpy.org/diffpy.labpdfproc//>`_.
+
+
+Calculating μ from a "z-scan" Measurement
+-----------------------------------------
+
+.. note::
+
+   The data we will be using for this example can be found,
+   `here <https://github.com/diffpy/diffpy.utils/tree/main/docs/source/examples/example_data>`_.
+
+A "z-scan" measurement is the measured transmission of your X-ray incident beam
+as a function of sample position. This is obtained by moving the sample
+perpendicular to the X-ray beam (z-direction) and recording the transmitted
+intensity at each position. This measured data looks something like this,
+
+.. image:: ../img/zscan-plot.png
+   :alt: Example of a z-scan measurement.
+   :align: center
+   :width: 300px
+
+Using this z-scan data, you can calculate **μ·d**, where d is the inner diameter of
+your sample capillary. To do this, simply pass your z-scan measurement to the ``compute_mud``
+function from the ``diffpy.utils.tools`` module.
+
+
+First, import the ``compute_mud`` function,
+
+.. code-block:: python
+
+   from diffpy.utils.tools import compute_mud
+
+Next, pass the filepath to the function,
+
+.. code-block:: python
+
+   filepath = "CeO2_635um_zscan_200umSlit_chanClose_exported.xy"
+   capillary_diameter = 0.5 # mm
+   mud = compute_mud(filepath)
+   print(f"Calculated mu*d: {round(mud, 3)}")
+   print(f"Calculated mu: {round(mud / capillary_diameter, 3)} mm^-1")
+
+This will output the calculated value of μ·d, which is unitless, and μ in mm\ :sup:`-1`.
+
+.. code-block:: console
+
+   Calculated mu*d: 3.489
+   Calculated mu: 6.977 mm^-1
+
+Calculating μ from Tabulated Values
+-----------------------------------
+
+The function to calculate μ from tabulated values is located
+in the ``diffpy.utils.tools`` module. So first, import the function,
+
+.. code-block:: python
+
+   from diffpy.utils.tools import compute_mu_using_xraydb
+
+To calculate μ, you need to know the sample composition, and X-ray energy, and sample mass density (g/cm\ :sup:`3`).
+
+.. code-block:: python
+
+   composition = "Fe2O3"
+   energy_keV = 17.45 # Mo K-alpha energy
+   sample_mass_density = 5.24 # g/cm^3
+
+Now calculate μ using the ``compute_mu_using_xraydb`` function.
+
+.. code-block:: python
+
+   mu = compute_mu_using_xraydb(composition, energy_keV, sample_mass_density)
+   print(f"Calculated mu: {round(mu, 3)} mm^-1")
+
+This will output the calculated linear absorption coefficient, μ, in mm\ :sup:`-1`.
+
+.. code-block:: console
+
+   Calculated mu: 13.967 mm^-1
diff --git a/docs/source/img/zscan-plot.png b/docs/source/img/zscan-plot.png
new file mode 100644
index 0000000..f0cc9ad
Binary files /dev/null and b/docs/source/img/zscan-plot.png differ
diff --git a/news/deprecator.rst b/news/deprecator.rst
index 01b8814..dabbfdf 100644
--- a/news/deprecator.rst
+++ b/news/deprecator.rst
@@ -1,6 +1,5 @@
 **Added:**
 
-* added a function in _deprecator to generate a deprecation message for copy pasting
 * Add ``@deprecated`` decorator.
 
 **Changed:**
diff --git a/news/rm-packing-fraction.rst b/news/mu-ex.rst
similarity index 73%
rename from news/rm-packing-fraction.rst
rename to news/mu-ex.rst
index 70bccad..698a993 100644
--- a/news/rm-packing-fraction.rst
+++ b/news/mu-ex.rst
@@ -1,6 +1,6 @@
 **Added:**
 
-* <news item>
+* Add examples for calculating absorption coefficient.
 
 **Changed:**
 
@@ -12,7 +12,7 @@
 
 **Removed:**
 
-* Removed API that calculates mu from packing fraction.
+* <news item>
 
 **Fixed:**
 
diff --git a/src/diffpy/utils/_deprecator.py b/src/diffpy/utils/_deprecator.py
index 560c953..72172ca 100644
--- a/src/diffpy/utils/_deprecator.py
+++ b/src/diffpy/utils/_deprecator.py
@@ -20,54 +20,40 @@ def deprecated(message, *, category=DeprecationWarning, stacklevel=1):
 
     .. code-block:: python
 
-        from diffpy.utils._deprecator import deprecated, deprecation_message
+        from diffpy._deprecations import deprecated
+        import warnings
 
-        deprecation_warning = build_deprecation_message("diffpy.utils",
-                                                        "old_function",
-                                                        "new_function",
-                                                        "4.0.0")
-
-        @deprecated(deprecation_warning)
+        @deprecated("old_function is deprecated; use new_function instead")
         def old_function(x, y):
-            '''This function is deprecated and will be removed in version
-            4.0.0. Please use new_function instead'''
-            return new_function(x, y)
+            return x + y
 
         def new_function(x, y):
             return x + y
 
-        old_function(1, 2)   # Works but emits DeprecationWarning
-        new_function(1, 2)   # Works, no warning
+        old_function(1, 2)   # Emits DeprecationWarning
+        new_function(1, 2)   # No warning
 
 
     Deprecating a class:
 
     .. code-block:: python
 
-        from diffpy.utils._deprecator import deprecated, deprecation_message
+        from diffpy._deprecations import deprecated
+        import warnings
 
-        deprecation_warning = build_deprecation_message("diffpy.utils",
-                                                        "OldAtom",
-                                                        "NewAtom",
-                                                        "4.0.0")
+        warnings.simplefilter("always", DeprecationWarning)
 
-        @deprecated(deprecation_warning)
+        @deprecated("OldAtom is deprecated; use NewAtom instead")
         class OldAtom:
-            def __new__(cls, *args, **kwargs):
-                warnings.warn(
-                    "OldAtom is deprecated and will be removed in
-                    version 4.0.0. Use NewClass instead.",
-                    DeprecationWarning,
-                    stacklevel=2,
-                )
-                return NewAtom(*args, **kwargs)
+            def __init__(self, symbol):
+                self.symbol = symbol
 
         class NewAtom:
             def __init__(self, symbol):
                 self.symbol = symbol
 
-        a = OldAtom("C")     # Works but emits DeprecationWarning
-        b = NewAtom("C")     # Works with no warning
+        a = OldAtom("C")     # Emits DeprecationWarning
+        b = NewAtom("C")     # No warning
     """
     if _builtin_deprecated is not None:
         return _builtin_deprecated(
@@ -89,6 +75,7 @@ def wrapper(*args, **kwargs):
                 return obj(*args, **kwargs)
 
             return wrapper
+
         raise TypeError(
             "deprecated decorator can only be applied to functions or classes"
         )
@@ -96,75 +83,26 @@ def wrapper(*args, **kwargs):
     return decorator
 
 
-def build_deprecation_message(
-    old_base, old_name, new_name, removal_version, new_base=None
-):
+def deprecation_message(base, old_name, new_name, removal_version):
     """Generate a deprecation message.
 
     Parameters
     ----------
-    old_base : str
+    base : str
         The base module or class where the deprecated item resides.
-        This will look like the import statement used in the code
-        currently
     old_name : str
         The name of the deprecated item.
     new_name : str
         The name of the new item to use.
     removal_version : str
         The version when the deprecated item will be removed.
-    new_base : str Optional. Defaults to old_base.
-        The base module or class where the new item resides.
-        This will look like the import statement that
-        will be used in the code moving forward. If not specified,
-        the new base defaults to the old one.
 
     Returns
     -------
     str
         A formatted deprecation message.
     """
-    if new_base is None:
-        new_base = old_base
     return (
-        f"'{old_base}.{old_name}' is deprecated and will be removed in "
-        f"version {removal_version}. Please use '{new_base}.{new_name}' "
-        f"instead."
-    )
-
-
-def generate_deprecation_docstring(new_name, removal_version, new_base=None):
-    """Generate a docstring for copy-pasting into a deprecated function.
-
-    this function will print the text to the terminal for copy-pasting
-
-    usage:
-      python
-      >>> import diffpy.utils._deprecator.generate_deprecation_docstring as gdd
-      >>> gdd("new_name", "4.0.0")
-
-    The message looks like:
-      This function has been deprecated and will be removed in version
-      {removal_version}. Please use  {new_base}.{new_name} instead.
-
-    Parameters
-    ----------
-    new_name: str
-        The name of the new function or class to replace the existing one
-    removal_version: str
-        The version when the deprecated item is targeted for removal,
-        e.g., 4.0.0
-    new_base: str Optional. Defaults to old_base.
-        The new base for importing.  The new import statement would look like
-        "from new_base import new_name"
-
-    Returns
-    -------
-    None
-    """
-    print(
-        f"This function has been deprecated and will be "
-        f"removed in version {removal_version}. Please use"
-        f"{new_base}.{new_name} instead."
+        f"'{base}.{old_name}' is deprecated and will be removed in "
+        f"version {removal_version}. Please use '{base}.{new_name}' instead."
     )
-    return
diff --git a/src/diffpy/utils/tools.py b/src/diffpy/utils/tools.py
index 19f8e03..d6f9617 100644
--- a/src/diffpy/utils/tools.py
+++ b/src/diffpy/utils/tools.py
@@ -231,30 +231,49 @@ def get_density_from_cloud(sample_composition, mp_token=""):
     )
 
 
-def compute_mu_using_xraydb(sample_composition, energy, sample_mass_density):
+def compute_mu_using_xraydb(
+    sample_composition, energy, sample_mass_density=None, packing_fraction=None
+):
     """Compute the attenuation coefficient (mu) using the XrayDB
     database.
 
-    Computes mu based on the sample composition, X-ray energy, and
-    sample mass density.
-
-    Reference:
-    https://xraypy.github.io/XrayDB/python.html#xraydb.material_mu
+    Computes mu based on the sample composition and energy.
+    User should provide a sample mass density or a packing fraction.
+    If neither density nor packing fraction is specified,
+    or if both are specified, a ValueError will be raised.
+    Reference: https://xraypy.github.io/XrayDB/python.html#xraydb.material_mu.
 
     Parameters
     ----------
     sample_composition : str
         The chemical formula of the material.
     energy : float
-        The energy of the incident X-rays in keV.
-    sample_mass_density : float
-        The mass density of the sample in g/cm^3.
+        The energy of the incident x-rays in keV.
+    sample_mass_density : float, ``optional``
+        The mass density of the packed powder/sample in g/cm*3.
+        Default is None.
+    packing_fraction : float, ``optional``
+        The fraction of sample in the capillary (between 0 and 1).
+        Specify either sample_mass_density or packing_fraction but not both.
+        Default is None.
 
     Returns
     -------
     mu : float
-        The attenuation coefficient μ in mm⁻¹.
+        The attenuation coefficient mu in mm^{-1}.
     """
+    if (sample_mass_density is None and packing_fraction is None) or (
+        sample_mass_density is not None and packing_fraction is not None
+    ):
+        raise ValueError(
+            "You must specify either sample_mass_density or packing_fraction, "
+            "but not both. "
+            "Please rerun specifying only one."
+        )
+    if packing_fraction is not None:
+        sample_mass_density = (
+            get_density_from_cloud(sample_composition) * packing_fraction
+        )
     energy_eV = energy * 1000
     mu = (
         material_mu(
diff --git a/tests/test_tools.py b/tests/test_tools.py
index 18c30fe..6be3870 100644
--- a/tests/test_tools.py
+++ b/tests/test_tools.py
@@ -9,6 +9,7 @@
 from diffpy.utils.tools import (
     _extend_z_and_convolve,
     check_and_build_global_config,
+    compute_mu_using_xraydb,
     compute_mud,
     get_package_info,
     get_user_info,
@@ -269,6 +270,40 @@ def test_get_package_info(monkeypatch, inputs, expected):
     assert actual_metadata == expected
 
 
+@pytest.mark.parametrize(
+    "inputs",
+    [
+        # Test when the function has invalid inputs
+        (  # C1: Both mass density and packing fraction are provided,
+            # expect ValueError exception
+            {
+                "sample_composition": "SiO2",
+                "energy": 10,
+                "sample_mass_density": 2.65,
+                "packing_fraction": 1,
+            }
+        ),
+        (  # C2: None of mass density or packing fraction are provided,
+            # expect ValueError exception
+            {
+                "sample_composition": "SiO2",
+                "energy": 10,
+            }
+        ),
+    ],
+)
+def test_compute_mu_using_xraydb_bad(inputs):
+    with pytest.raises(
+        ValueError,
+        match=(
+            "You must specify either sample_mass_density or "
+            "packing_fraction, but not both. "
+            "Please rerun specifying only one."
+        ),
+    ):
+        compute_mu_using_xraydb(**inputs)
+
+
 def test_compute_mud(tmp_path):
     diameter, slit_width, z0, I0, mud, slope = 1, 0.1, 0, 1e5, 3, 0
     z_data = np.linspace(-1, 1, 50)