Bay leaf gives onions a subtle herbal depth that works especially well in soups, stews, stocks, and braises.
onions
+ Add to WorkbenchAbout this ingredient
The most fundamental aromatic vegetable in global cooking — Allium cepa contains sulfur compounds that are pungent and tear-inducing raw but transform to deep,…
106 pairings
Editorial
Flavor profile
Raw onions contain S-alk(en)yl-L-cysteine sulfoxides that are enzymatically converted to volatile thiosulfinates (including propanethial S-oxide, the main tear-inducing lachrymatory factor) when cells are damaged. These same compounds transform completely during cooking: at low heat (sweating/caramelizing), the sulfur compounds break down and the abundant fructo-oligosaccharides in onion become sweeter; Maillard reactions between amino acids and sugars produce hundreds of new flavor compounds. Slowly caramelized onions (40–60 minutes over medium-low heat) develop a deep, sweet, complex flavor that is the base of French onion soup and the essential foundation of countless braises and sauces. High heat (stir-frying, quick sautéing) produces browned, savory onions without the extended sweetness of full caramelization. Sweating onions first in any preparation — before adding other aromatics and proteins — is a fundamental technique because the softened, translucent onion mixes into and flavors the whole dish without remaining as a distinct texture. Onion water retained during cooking is flavor; do not discard.
Pairings
Flavor relationships
Core pairings
bay leaf
Bay leaf gives onions a subtle herbal depth that works especially well in soups, stews, stocks, and braises.
garlic
Onions and garlic are the universal savoury base—their combined allium compounds, after sweating in fat, create the foundational flavour of soffritto, mirepoix, and the holy trinity of almost every cuisine.
Onions and garlic are the universal savoury base—their combined allium compounds, after sweating in fat, create the foundational flavour of soffritto, mirepoix, and the holy trinity of almost every cuisine.
Pairs well with
anchovies
Anchovies complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
apples
Apples adds fruitiness and natural sweetness that rounds out onions's sharper, richer, or more aromatic side.
bacon
Bacon adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
basil
Basil adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
beans
Beans adds earthy body and protein, pairing well with onions's savory or fresh notes in stews, salads, and sides.
beef, ground
Beef, Ground adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
beer
Beer adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
beets
Beets adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
bell peppers
Bell Peppers brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
brandy
Brandy adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
bread, croutons
Bread, Croutons gives onions a starchy, baked, or structured base that absorbs flavor and makes the pairing feel more substantial.
bread, crumbs
Bread, Crumbs adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
butter, unsalted
Butter softens onions into sweetness and carries their savory aroma, especially when slowly cooked or caramelized.
caraway seeds
Caraway Seeds adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
cardamom
Cardamom adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
carrots
Carrots adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
cayenne
Cayenne brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
cheese, cheddar
Cheese, Cheddar adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
cheese, comté
Cheese, Comté adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
cheese, emmental
Cheese, Emmental adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
cheese, fromage blanc
Cheese, Fromage Blanc adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
cheese, goat
Cheese, Goat adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
cheese, gruyère
Cheese, Gruyère adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
cheese, parmesan
Cheese, Parmesan adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
cheese, swiss
Cheese, Swiss adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
chile peppers
Chile Peppers brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
chili
Chili brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
cilantro
Cilantro adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
cinnamon
Cinnamon adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
cloves
Cloves adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
coriander
Coriander adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
cream / milk
Cream / Milk adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
crème fraîche
Crème Fraîche adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
cucumbers
Cucumbers adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
cumin seeds
Cumin Seeds adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
curry
Curry adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
dill
Dill adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
dips
Dips adds structure and seasoning that helps onions integrate into a fuller dish instead of drifting around like an ingredient with no adult supervision.
eggs
Eggs complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
greens, bitter
Greens, Bitter adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
hamburgers
Hamburgers adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
honey
Honey adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
lemon, juice
Lemon, Juice brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
lime, juice
Lime, Juice brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
liver
Liver adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
mace
Mace adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
mangoes
Mangoes adds fruitiness and natural sweetness that rounds out onions's sharper, richer, or more aromatic side.
marjoram
Marjoram adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
meats
Meats adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
milk
Milk adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
mint
Mint adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
mirepoix
Mirepoix supplies an allium backbone that deepens onions's savory side and gives the pairing a more complete cooked flavor.
mushrooms
Mushrooms reinforce onions' savory depth with earthy umami, making the pair a dependable base for sauces, soups, and sautés.
mustard, dijon
Mustard, Dijon brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
nutmeg
Nutmeg adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
oil, canola
Oil, Canola adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
oil, peanut
Oil, Peanut adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
oil, sesame
Oil, Sesame adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
oil, vegetable
Oil, Vegetable adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
olive oil
Olive Oil adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
olives, black
Olives, Black adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
orange, juice
Orange, Juice brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
oregano
Oregano adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
paprika
Paprika adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
parmesan cheese
Parmesan Cheese adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
parsley, flat-leaf
Parsley, Flat-Leaf adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
peas
Peas adds earthy body and protein, pairing well with onions's savory or fresh notes in stews, salads, and sides.
pepper, black
Pepper, Black brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
pepper, white
Pepper, White brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
ponzu sauce
Ponzu Sauce brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
pork
Pork adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
potatoes
Potatoes gives onions a starchy, baked, or structured base that absorbs flavor and makes the pairing feel more substantial.
poultry
Poultry complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
raisins
Raisins adds fruitiness and natural sweetness that rounds out onions's sharper, richer, or more aromatic side.
rice
Rice gives onions a starchy, baked, or structured base that absorbs flavor and makes the pairing feel more substantial.
rosemary
Rosemary adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
saffron
Saffron adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
sage
Sage adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
salads
Salads complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
salt, fleur de sel
Salt, Fleur De Sel adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
salt, kosher
Salt, Kosher adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
salt, sea
Salt, Sea adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
sandwiches
Sandwiches complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
sauces and gravies
Sauces And Gravies adds structure and seasoning that helps onions integrate into a fuller dish instead of drifting around like an ingredient with no adult supervision.
savory
Savory adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
soups
Soups adds structure and seasoning that helps onions integrate into a fuller dish instead of drifting around like an ingredient with no adult supervision.
sour cream
Sour Cream adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
stews
Stews adds structure and seasoning that helps onions integrate into a fuller dish instead of drifting around like an ingredient with no adult supervision.
stocks, beef
Stocks, Beef adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
stocks, chicken
Stocks, Chicken adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
stocks, veal
Stocks, Veal adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
sugar
Sugar adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
tabasco sauce
Tabasco Sauce brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
thyme, lemon
Thyme, Lemon brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
tomatoes
Tomatoes adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
vegetables
Vegetables adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
vinegar, balsamic
Vinegar, Balsamic adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
vinegar, champagne
Vinegar, Champagne adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
vinegar, red wine
Vinegar, Red Wine adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
vinegar, sherry
Vinegar, Sherry adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
vinegar, white wine
Vinegar, White Wine adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
wine, dry red
Wine, Dry Red adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
wine, white
Wine, White adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
wine, port
Wine, Port adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Anchovies complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
Apples adds fruitiness and natural sweetness that rounds out onions's sharper, richer, or more aromatic side.
Bacon adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
Basil adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Beans adds earthy body and protein, pairing well with onions's savory or fresh notes in stews, salads, and sides.
Beef, Ground adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
Beer adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Beets adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
Bell Peppers brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
Brandy adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Bread, Croutons gives onions a starchy, baked, or structured base that absorbs flavor and makes the pairing feel more substantial.
Bread, Crumbs adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Butter softens onions into sweetness and carries their savory aroma, especially when slowly cooked or caramelized.
Caraway Seeds adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Cardamom adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Carrots adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
Cayenne brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
Cheese, Cheddar adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
Cheese, Comté adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
Cheese, Emmental adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
Cheese, Fromage Blanc adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
Cheese, Goat adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
Cheese, Gruyère adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
Cheese, Parmesan adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
Cheese, Swiss adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
Chile Peppers brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
Chili brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
Cilantro adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Cinnamon adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Cloves adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Coriander adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Cream / Milk adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
Crème Fraîche adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
Cucumbers adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
Cumin Seeds adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Curry adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Dill adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Dips adds structure and seasoning that helps onions integrate into a fuller dish instead of drifting around like an ingredient with no adult supervision.
Eggs complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
Greens, Bitter adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
Hamburgers adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
Honey adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
Lemon, Juice brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
Lime, Juice brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
Liver adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
Mace adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Mangoes adds fruitiness and natural sweetness that rounds out onions's sharper, richer, or more aromatic side.
Marjoram adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Meats adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
Milk adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
Mint adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Mirepoix supplies an allium backbone that deepens onions's savory side and gives the pairing a more complete cooked flavor.
Mushrooms reinforce onions' savory depth with earthy umami, making the pair a dependable base for sauces, soups, and sautés.
Mustard, Dijon brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
Nutmeg adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Oil, Canola adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
Oil, Peanut adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
Oil, Sesame adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
Oil, Vegetable adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
Olive Oil adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
Olives, Black adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
Orange, Juice brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
Oregano adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Paprika adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Parmesan Cheese adds salt, fat, and savory depth that give onions more structure and make the combination feel fuller.
Parsley, Flat-Leaf adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Peas adds earthy body and protein, pairing well with onions's savory or fresh notes in stews, salads, and sides.
Pepper, Black brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
Pepper, White brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
Ponzu Sauce brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
Pork adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
Potatoes gives onions a starchy, baked, or structured base that absorbs flavor and makes the pairing feel more substantial.
Poultry complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
Raisins adds fruitiness and natural sweetness that rounds out onions's sharper, richer, or more aromatic side.
Rice gives onions a starchy, baked, or structured base that absorbs flavor and makes the pairing feel more substantial.
Rosemary adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Saffron adds spice, warmth, or aromatic complexity that plays against onions's natural base notes.
Sage adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Salads complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
Salt, Fleur De Sel adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
Salt, Kosher adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
Salt, Sea adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
Sandwiches complements onions by adding contrast, depth, or texture without overwhelming the ingredient's main character.
Sauces And Gravies adds structure and seasoning that helps onions integrate into a fuller dish instead of drifting around like an ingredient with no adult supervision.
Savory adds herbal lift and aromatic contrast, keeping onions from tasting too heavy, flat, or one-dimensional.
Soups adds structure and seasoning that helps onions integrate into a fuller dish instead of drifting around like an ingredient with no adult supervision.
Sour Cream adds richness and helps carry onions's flavor, giving the pairing a smoother texture and a more rounded finish.
Stews adds structure and seasoning that helps onions integrate into a fuller dish instead of drifting around like an ingredient with no adult supervision.
Stocks, Beef adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
Stocks, Chicken adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
Stocks, Veal adds savory richness and browned depth that gives onions more weight and turns it into a heartier dish.
Sugar adds seasoning or sweetness that balances onions's sharper, richer, or earthier qualities.
Tabasco Sauce brings heat, sharpness, or tang that wakes up onions's milder flavors and adds contrast.
Thyme, Lemon brings acidity and brightness that sharpens onions's flavor and keeps the pairing lively.
Tomatoes adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
Vegetables adds complementary vegetable character, giving onions more contrast in texture, sweetness, bitterness, or freshness.
Vinegar, Balsamic adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Vinegar, Champagne adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Vinegar, Red Wine adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Vinegar, Sherry adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Vinegar, White Wine adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Wine, Dry Red adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Wine, White adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.
Wine, Port adds acidity, aroma, or depth that helps onions work in drinks, sauces, dressings, marinades, or cooked preparations.