diff --git a/src/core/include/mp-units/framework/quantity.h b/src/core/include/mp-units/framework/quantity.h
index 211d2239..c44be919 100644
--- a/src/core/include/mp-units/framework/quantity.h
+++ b/src/core/include/mp-units/framework/quantity.h
@@ -26,6 +26,7 @@
 #include <mp-units/bits/hacks.h>
 #include <mp-units/bits/module_macros.h>
 #include <mp-units/bits/sudo_cast.h>
+#include <mp-units/bits/unsatisfied.h>
 #include <mp-units/compat_macros.h>
 #include <mp-units/framework/customization_points.h>
 #include <mp-units/framework/dimension_concepts.h>
@@ -76,8 +77,11 @@ template<typename T, typename Arg>
 concept ValuePreservingAssignment = std::assignable_from<T&, Arg> && is_value_preserving<std::remove_cvref_t<Arg>, T>;
 
 template<auto FromUnit, auto ToUnit, typename Rep>
-concept ValuePreservingScaling1Rep = SaneScaling<FromUnit, ToUnit, Rep> &&
-                                     (treat_as_floating_point<Rep> || (integral_conversion_factor(FromUnit, ToUnit)));
+concept ValuePreservingScaling1Rep =
+  SaneScaling<FromUnit, ToUnit, Rep> &&
+  (treat_as_floating_point<Rep> || (integral_conversion_factor(FromUnit, ToUnit)) ||
+   unsatisfied<"Scaling from '{}' to '{}' is not value-preserving for '{}' representation type">(
+     unit_symbol(FromUnit), unit_symbol(ToUnit), type_name<Rep>()));
 
 template<auto FromUnit, typename FromRep, auto ToUnit, typename ToRep>
 concept ValuePreservingScaling2Reps =
@@ -85,7 +89,9 @@ concept ValuePreservingScaling2Reps =
   //  CastableReps<FromRep, ToRep, FromUnit, ToUnit> &&
   SaneScaling<FromUnit, ToUnit, ToRep> &&
   (treat_as_floating_point<ToRep> ||
-   (!treat_as_floating_point<FromRep> && integral_conversion_factor(FromUnit, ToUnit)));
+   (!treat_as_floating_point<FromRep> && integral_conversion_factor(FromUnit, ToUnit)) ||
+   unsatisfied<"Scaling from '{}' as '{}' to '{}' as '{}' is not value-preserving">(
+     unit_symbol(FromUnit), type_name<FromRep>(), unit_symbol(ToUnit), type_name<ToRep>()));
 
 template<typename QTo, typename QFrom>
 concept QuantityConstructibleFrom =
diff --git a/src/core/include/mp-units/framework/unit_concepts.h b/src/core/include/mp-units/framework/unit_concepts.h
index 060728f4..61d92e3f 100644
--- a/src/core/include/mp-units/framework/unit_concepts.h
+++ b/src/core/include/mp-units/framework/unit_concepts.h
@@ -24,6 +24,7 @@
 
 // IWYU pragma: private, include <mp-units/framework.h>
 #include <mp-units/bits/module_macros.h>
+#include <mp-units/bits/unsatisfied.h>
 #include <mp-units/framework/quantity_spec_concepts.h>
 #include <mp-units/framework/symbolic_expression.h>
 #include <mp-units/framework/unit_magnitude.h>
@@ -97,8 +98,11 @@ concept AssociatedUnit = Unit<U> && detail::has_associated_quantity(U{});
  * the provided @c QS value.
  */
 MP_UNITS_EXPORT template<typename U, auto QS>
-concept UnitOf = AssociatedUnit<U> && QuantitySpec<MP_UNITS_REMOVE_CONST(decltype(QS))> &&
-                 (implicitly_convertible(get_quantity_spec(U{}), QS));
+concept UnitOf =
+  AssociatedUnit<U> && QuantitySpec<MP_UNITS_REMOVE_CONST(decltype(QS))> &&
+  (implicitly_convertible(get_quantity_spec(U{}), QS) ||
+   (unsatisfied<"Unit '{}' is associated with quantity of kind '{}' which is not convertible to the '{}' quantity">(
+     U{}, type_name(get_quantity_spec(U{})._quantity_spec_), type_name(QS))));
 
 namespace detail {
 
@@ -107,10 +111,17 @@ concept WeakUnitOf =
   Unit<U> && QuantitySpec<MP_UNITS_REMOVE_CONST(decltype(QS))> && ((!AssociatedUnit<U>) || UnitOf<U, QS>);
 
 template<auto U1, auto U2>
-concept UnitsOfCompatibleQuantities = explicitly_convertible(get_quantity_spec(U1), get_quantity_spec(U2));
+concept UnitsOfCompatibleQuantities =
+  explicitly_convertible(get_quantity_spec(U1), get_quantity_spec(U2)) ||
+  unsatisfied<"'{}' and '{}' units are of quantities of incompatible kinds ('{}' and '{}')">(
+    U1, U2, type_name(get_quantity_spec(U1)._quantity_spec_), type_name(get_quantity_spec(U2)._quantity_spec_));
 
 template<auto U1, auto U2>
-concept ConvertibleUnits = (get_canonical_unit(U1).reference_unit == get_canonical_unit(U2).reference_unit);
+concept ConvertibleUnits = (get_canonical_unit(U1).reference_unit == get_canonical_unit(U2).reference_unit) ||
+                           unsatisfied<
+                             "Units '{}' and '{}' are not convertible because they are defined in terms of "
+                             "different reference units ('{}' and '{}')">(U1, U2, get_canonical_unit(U1).reference_unit,
+                                                                          get_canonical_unit(U2).reference_unit);
 
 template<typename U1, auto U2>
 concept UnitConvertibleTo =
diff --git a/src/core/include/mp-units/framework/value_cast.h b/src/core/include/mp-units/framework/value_cast.h
index 01814f7a..34b28f3e 100644
--- a/src/core/include/mp-units/framework/value_cast.h
+++ b/src/core/include/mp-units/framework/value_cast.h
@@ -58,7 +58,9 @@ template<typename Rep, Unit UFrom, Unit UTo>
 
 template<auto FromU, auto ToU, typename Rep>
 concept SaneScaling = UnitConvertibleTo<MP_UNITS_REMOVE_CONST(decltype(FromU)), ToU> &&
-                      (!detail::scaling_overflows_non_zero_values<Rep>(FromU, ToU));
+                      ((!detail::scaling_overflows_non_zero_values<Rep>(FromU, ToU)) ||
+                       unsatisfied<"The result of scaling '{}' to '{}' overflows the '{}' representation type">(
+                         FromU, ToU, type_name<Rep>()));
 
 }  // namespace detail